Example 1 : Construct an acute angle of … Construct an equilateral triangle, given its side and justify the construction. Use ruler and draw a Line segment OB of any convenient length. Step 2: Now place the point of the compass at P and then draw an arc which cuts the arm at Q. A 15˚ angle can be obtained by bisecting a 30˚ angle. answer choices . Construct a triangle ABC in which BC = 3.4 cm , AB - AC = 1.5 cm and ∠B = 45 0. To be able to speak about angles that measure less than $$1^\circ$$, we use submultiples of a degree, so we avoid working with expressions like the following: This angle measures half a degree; This angle measures $$0,76$$ degrees; Thus, the sexagesimal degree has … Summary. Step 3:Place the compass pointer at P and mark an arc th… Thus, we can understand that in order to construct 120° we can construct 60° angle and then further extend one of its arms as shown below in the figure. Here is triangle . And we got it wrong. A Euclidean construction. Construct the angles of the following measurement at 30 degree - 1851611 1. Measuring Angles with 5-Degree Increments | Inner & Outer Scale. Example: Construct an angle bisector for the following angle: Are the triangles congruent? Join OE Thus, ∠ AOE = 30° Ex 11.1, 3 Construct the angles of the following measurements : 221/2° 221/2 = 45/2 So, we make 45° and then make its bisector Steps of construction Draw a ray OA. Examples. Construct, not measure. Recall that an equilateral triangle has all three interior angles 60 degrees. ... Construct long stretches of highway and railroad. We know that: So, to construct an angle of 30º, first construct a 60º angle and then bisectit. Ruler. (b) Convert to degree measure. Of the following, which most accurately measures long distances? It is easy to convert between degree measurement and radian measurement. It’s any angle that … Protractor. Mark point Q where OP intersects the arc 8. Note that angle 1 and angle 2 do not have to be adjacent to be complementary as long as they add up to 90 degrees. Construct the following angles and verify by measuring them by a protractor: 1 3 5 o. Performance & security by Cloudflare, Please complete the security check to access. So just like that. 30° b. Compass. Report an issue . What is different? Log in. Understanding the basics of this is very important and thus one must try and learn this properly. Congruent angles are denoted as $$\angle A\cong \angle B$$ Or could be shown by an arc on the figure to indicate which angles that are congruent. Supports, like trusses, usually involve triangles because triangles are rigid. Angle 1 and angle 2 are complementary angles because together they form a right angle. Step 2: Then place the point of the compass at P and draw an arc such that it passes through Q. The given angle may be in degrees or radians. Q. 300 seconds . Special line segments in triangles worksheet. Build a square around the circle and construct the octagon from that. What is the same? So let's set it up. This arc must cut the arc which is drawn in the above step at a point R. Step 4: Now place the point of the compass at R and draw an arc of the radius which is similar to the radius of PQ in order to cut the arc which is drawn at step 2 at another point S. Step 5: With the point of the compass at R, draw another arc of radius the same as the radius of PQ near the point T as shown in the figure below. is a straight line that divides the angle into two equal parts. The triangle is significant because the sides exist in an easy-to-remember ratio: 1:\(\sqrt{3}\):2. two right angles are supplementary since 90° + 90° = 180°. Now place the point of the compass at P and then draw an arc which cuts the arm at Q. And with O as center , draw an arc which cuts line segment OB at X . Two angles of a triangle measure 30 degrees and 60 degrees. The corner point of an angle is called the vertex. When measuring from a line: a positive angle goes counterclockwise (opposite direction that clocks go) a negative angle goes clockwise; Example: −67° Parts of an Angle. View solution. You may need to download version 2.0 now from the Chrome Web Store. Complimentary angle can be adjacent angles. Draw an arc to indicate the angle that was measured. The angle is the amount of turn between each arm. Similar? This page shows how to construct (draw) a 60 degree angle with compass and straightedge or ruler. Construction Of Angles Measuring 30, 45, 60, 75, 90 and 105 degrees Using Set Squares . We're asked to construct a 10 degree angle. and 1 radian equals 180/π degrees. Supplementary angles: Two angles whose measures add to 180 degrees. First, follow the steps above to construct your 60° 60 ° angle. The circumference of the entire circle is 2π, so it follows that 360° equals 2π radians. Add your answer and earn points. On one set of axes draw angles of the following radian measures: On one set of axes draw angles of the following radian measures: (HINT: Find a common denominator) 6.1.10 and 6.1.13 Draw each angle in standard position and state the quadrant in which the terminal side of the angle lies or the axis on which the terminal side of the angle lies. twice the radius of the inscribed circle). It’s the adorable angle. Q: 12. Related Topics: More Geometry Lessons. 1. 65° c. 115° d. 135° e. 5° f. 175° g. 27° h. 117° i. SURVEY . Step 3: Place the point of the compass at Q and draw an arc that cuts the arc drawn in Step 2 at R. Step 4: With the point of the compass still at Q, draw an arc near T as shown. So we can apply this knowledge to construct a 30° angle. A 45˚ angle can be obtained by bisecting a 90˚ angle. Step 2: Draw the arm PQ 9). Vedantu academic counsellor will be calling you shortly for your Online Counselling session. Hence, 1° equals π/180 radians. Step 3: Then place the point of the compass and then draw an arc which passes through Q. So, to draw a 30° 30 °, construct a 60° 60 ° angle and then bisect it. Tags: Question 9 . Construct the following using ruler and compass: angles of degree measure 30,45,75,105,135 Share with your friends. View solution. 120° angle can be constructed using the logic that 60° + 120° = 180°. Protractor. 2. (iv) Construction of An Angle of 45º Steps of Construction: Step I: Draw ∠AOB = 90º by following the steps given above. Diagonals of the octagon would be separated by (constructable) angles of 45 degrees. 4. There are 360 degrees in one Full Rotation (one complete circle around). *Response times vary by subject and question complexity. If two of the angles of a triangle are 30 and 70 degrees, the third angle measures... answer choices . 11.3 Some Constructions of Triangles A Measure of Acute Angle = 360° – a Measure of Reflex Angle. how to use an angle bisector to construct some angles for example, 90 degrees, 45 degrees, 60 degrees, 30 degrees, 120 degrees, 135 degrees, 15 degrees. However, squares, rectangles, etc. In this section, you will learn how to construct angles using protractor. In order to construct an angle of 30°, we first need to construct an angle of 60° and then further bisect it. Angles measuring 30 and 60 degrees. Example 1 : Construct an acute angle of 60 °. The latter are popularly referred to as radian-scale protractors; and are used for complex, mechanical figures; especially in the field of engineering or architecture. 2. Then we'll start getting into obtuse angles, 100, 110, 120, 130, 140, 150. What are the sides? The angle APT formed measures 90°. Join OP Thus, ∠ AOP = 90° and ∠ POD = 30° Now, we bisect ∠ POD i.e. 2. Protractors are widely used in schools to help students learn geometry. 90. Step 2: Now use a compass to construct a 60° angle at point A. What is the measure of the unlabeled angle of the triangle? On other pages there are instructions for constructing angles of 30°, 45°, 60° and 90°. Constructing a 30° Angle: We know that 30° is half of 60°. 100. And let me move the protractor out of the way so we can get a good look at it. BIG IDEA Some combinations of measures of sides and angles are enough to determine all the other measures of sides and angles of the triangle. The angle ∠AOC so obtained is the required angle of measure 45º. • 3. (as shown below) 2). In this section, you will learn how to construct angles using protractor. Log in. Now, we use the following steps for required construction . Step VII: Draw OB and produce it to C. ∠AOC is the angle of measure 90º. Let’s begin with learning to draw an angle using a protractor, and also learn how to measure already drawn angles. Construct the angles of the following measurements: I)\(30^\circ\) II) \(22(1/2)^\circ\) III)\(15^\circ\) rustudies. 300 seconds . A 30-60-90 right triangle (literally pronounced "thirty sixty ninety") is a special type of right triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. Two angles whose measures add to 90 degrees. From each point of intersection (of the arc and legs), strike arcs of the same radius such that they intersect each other. See the proof below for more details. Taking O as center and any radius, draw an arc cutting OA at B. [20 pts) 6) Using only compass and straightedge construct Angles with the following measures: a) 45 degrees b) 30 degree c the medians of the following triangle e) the incenter of the following … Using ruler and compasses, construct the following angles: 3 0 o. In order to construct a 90° angle, there are two ways. Example: Construct an angle bisector for the following angle: We now can easily obtain a formula to convert from degrees to radians and vice-versa. Actually, it’s just a pinch. Complementary Angle. Angle Types. An angle bisector. We can use the angle bisector to construct some other angles from existing angles. If two of the angles of a triangle are 30 and 70 degrees, the third angle measures... answer choices . 9th - 12th grade. Building Construction: Basic Surveying DRAFT. To construct an angle, we must need the following mathematical instruments. Pro Lite, NEET In an equilateral triangle, all the angles are equal and they are equal to 60° in size. To construct an angle of 60 degrees, we need to draw first: (a) A ray (b) An arc (c) Two rays (d) A straight line. Now with the point of the compass at R, draw another arc in order to cut the arc drawn at step 5 at T. Now join the point T to the point P. Now the angle QPT is 30°. Repeaters, Vedantu SURVEY . Now use a compass to construct a 60° angle at point A. Step 4: Place the point of the compass at Q and then draw the arc which cuts the arc drawn at the above step at another point R. Step 5: WIth the compass at Q, draw another arc near the point T as shown in the figure. a. And just to make sure that blue arc is measuring this angle right over here, not the outer one. Most protractors measure angles in degrees, whereas a few also measure them in radians. Step II: Draw OC, the bisector of ∠AOB. Properties of a 30-60-90 Right Triangle A special kind of triangle. How To Construct A 30 Degree Angle A 30° 30 ° angle is half of a 60° 60 ° angle. (See the wikiHow article Construct a 90 Degrees Angle Using Compass and Ruler. Learn how to solve with the ratio of sides and angles of a triangle. Your IP: 46.101.36.144 Construct angles that measure the given number of degrees. Answer. We can construct a 90º angle either by bisecting a straight angle or using the following steps. The most common is the protractor, which is a drawing tool that allows us not only to measure but also to construct angles. Often, we apply the following steps. When we construct, or draw, geometric figures, we often need to bisect lines or angles.Bisectmeans to cut something into two equal parts. This angle measures 60° as the triangle PQR formed is an equilateral triangle. In trigonometry and most other mathematical disciplines, you draw angles in a standard, universal position, so that mathematicians around the world are drawing and talking about the same thing. So let's see what we-- oh, 155 degree angle, not 150 degree angle. SURVEY . The radian measure of an angle whose terminal side is along the negative x-axis is . Drawing an angle using a protractor is very simple. Vertical angles: Angles that … Constructing a 90º Angle. Please enable Cookies and reload the page. Likewise, an angle of size 1° has radian measure /180. Types of angles worksheet. Question 630756: The angles of a triangle are 30, 70 & 80 degrees. Pro Subscription, JEE Often you are required to construct some angles without using a protractor. Let's put the protractor here. Step 1 : Draw a line segment BC of length 3.4cm Step 2 : Draw an angle of 45 degree from point B Step 3 : From Ray AX cut off the line segment BD = 1.5cm Acute angle. There are different ways to bisect a line segment. krish456 krish456 26.11.2017 Math Secondary School Construct the angles of the following measurement at 30 degree 1 See answer krish456 is waiting for your help. One of the most important aspects of geometry is constructing angles. are special types of quadrilaterals with some of their sides and angles being equal. As long as they add up to 90° they will be known as complementary angles. Proving trigonometric identities worksheet. I have a small part of it in this screen right over here. Even though we have a formula to convert from degrees to radians, you should try to remember the radian measure of familiar angles, namely the quadrantal angles and the angles whose reference angle is of measure 30°, 45°, or 60°. Again use compass and open it to any convenient radius. Ask your question. Properties of triangle worksheet. Construct a regular octagon given the perpendicular distance from one side of the octagon to the opposite (i.e. Constructing Angles Using Protractor - Examples. Angles can be measured using the inner or outer scale of the protractor. Cloudflare Ray ID: 6161944f795d2c8a Use the ruler to find C such that AC is 4.5 cm long. So think of a degree like an hour, and you’ve got it down: One degree equals 60 minutes. 90* 82* 98* 75* Tags: Question 8 . Positioning initial and terminal sides An […] Find the shortest side of triangle ABC. Main & Advanced Repeaters, Vedantu Since an angle of 2 has degree measure 360° it follows that an angle of 1 radian has degree measure (180/)°. Another way to prevent getting this page in the future is to use Privacy Pass. 2.Taking D and E as centres and with the radius more than 1/2 DE, draw arcs to intersect each other, say at F. 3.Draw the ray XF. Use a ruler and compass and construct a triangle ABC. 5. … And I want to give credit to the person who built this protractor, because I think it's pretty neat. how to construct an angle bisector of a given angle. Step 6: Now with the point of the compass at R, draw another arc in order to cut the arc drawn at step 5 at T. Step 7: Now join the point T to the point P. Now the angle QPT is 30°. 1. And its done in the following steps: 10). So we can apply this knowledge to construct a 30° angle. And the two straight sides are called arms. Step 1:Draw a line segment. Step 3: Now place the point of the compass at Q and draw an arc which has the radius similar to the radius of PQ. 1. Find the measure of angle x. answer choices . Ruler. SURVEY . Now use compass and open it to any convenient radius. Example: A 30˚ angle can be obtained by bisecting a 60˚ angle. Properties of parallelogram worksheet. For example, ∠ STA= 65 degrees and ∠ATR= 25 degrees are complementary angles that are adjacent. Construct the angles of the following measurements: I)\(30^\circ\) II) \(22(1/2)^\circ\) III)\(15^\circ\) Answer : I) Steps of construction: 1. One minute equals 60 seconds. Pro Lite, CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. (i) 30 ° The below given steps will be followed to construct an angle of 30°. 138. Use of calculator to Find the Quadrant of an Angle 1 - Enter the angle: in Degrees top input. If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. This is shown in Constructing the sum of angles. How did you decide if they were or were not congruent or similar? Find two others in the room who used your same angles and compare your triangles. 90. Draw ∠BXA = 110° with the help of a protractor. See the proof below for more on this. The right angle is exactly equal to 90 degrees. Step 1: Draw the arm PQ. The steps are: 1. To do this, draw a line segment and label it . Angles that measure 30°, 45°, 60°, 75°, 90° and 105° can be drawn using the pair of set squares in the geometry box. The perimeter is 12 units. Angles can be measured by means of tools such as the goniometer, the quadrant, the sextant, the cross-staff or the protractor. This next exercise asks you to click on the radian measure of an angle given in degrees. Step 1: First draw the line AB which is 6m long. )Bisect the angle this way: Strike an arc through both legs of the 90° angle. If you enter a quadrantal angle… To construct an angle using protractor, we must need the following mathematical instruments. With the point of the compass at S, draw an arc of radius similar to the radius of arc PQ and cut the arc which was drawn at step 5 at the point T. Join T to P using a scale. Join now. Since ZB is a straight line, so formed Angle AOZ = 90 Degree (angle sum property) Now, to construct at 135 degree angle, we will construct the angle bisector of above angle AOB. So we have this little angle tool here that we can use to construct an angle. To construct a 30-degree angle, you first need to construct an equilateral triangle, which will have three 60-degree angles. The first one is by bisecting a straight angle and the other step is given below. 100. 90* 82* 98* 75* Tags: Question 8 . Then place the point of the compass and then draw an arc which passes through Q. Step 6: With the point of the compass at S, draw an arc of radius similar to the radius of arc PQ and cut the arc which was drawn at step 5 at the point T. Step 7: Join T to P using a scale. example 1250 in Radians second input as a fraction of π: Example 27/5 π or 1.2 π then press the button "Find Quadrant" on the same row. It works by first creating a rhombus and then a diagonal of that rhombus. Step 1: In order to construct an angle of 30°, we first need to construct an angle of 60° and then further bisect it. Sides ABD and AC are equal. Take a look! Additionally, we’ll also teach you to draw or measure angles more than 180° using a regular semicircular protractor. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. Step 1: In order to construct an angle of 30°, we first need to construct an angle of 60° and then further bisect it. The only angles that are possible to draw without a protractor are all multiples of 15. Yes. (c) Label the reference angle in both degrees and radians. Taking Q and C as center , with radius more than 1/2QC, draw arcs intersecting at R. 9. 60. Angles can be effectively 'added' by constructing them so they share a side. Two angles with the same measure are called congruent angles. Construct a 90° angle and bisect it. Apart from these, there are three other types such as straight, reflex and full rotation. Construct the angles of the following measurements: (i) 30° (ii) 22 1 2 ° (iii) 15° 4. 1. ... 30 seconds . Thus, the angle sum of the triangle ABC = 60° + 55° + 65° = 180°. is a straight line that divides the angle into two equal parts. The triangle ABC formed is the required triangle. Share 0. 30 seconds . Navigators, surveyors, and carpenters all use the same angle measures, but the angles start out in different positions or places. The angle APT formed measures 90°. It consists of a graduated half-disk with which we can measure angles of up to $$180^\circ$$. Q. One Degree. Now, for the next part, we can use a protractor to find the rest of the angles. In this section, you will learn how to construct angles using ruler and compass. 60. Join OR Thus, ∠ AOP = 90° and ∠ POD = 30° Now, we bisect ∠ POD … An angle bisector. (as shown below) 3). We can also have complementary angles that are not adjacent to each. Angle trisection is a classical problem of compass and straightedge constructions of ancient Greek mathematics.It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass.. Tags: Question 7 . 93. To construct an angle, we must need the following mathematical instruments. Taking P as centre and with some radius, draw an arc of a circle which intersects PQ at R. Step II: Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at point S. Constructing 75° 105° 120° 135° 150° angles and more. Step 1 : Draw … We use one of those angles to get the desired 60 degree result. Angles are most commonly measured by degrees, but for those of you who are sticklers for accuracy, even smaller units of measure can be used: minutes and seconds. Also, measure the angle of angle ABC and angle ACB and calculate the angle sum of ABC. This construction works by creating an equilateral triangle. 1. Step I: Draw the given ray PQ. Answer by dfrazzetto(283) (Show Source): You can put this solution on YOUR website! Therefore, to construct a 120º angle, construct a 60º angle and then extend one of its arms as shown below. The following are supplementary angles. Select city Home Patna Ranchi Bhopal Lucknow Indore Raipur Allahabad Dehradun Varanasi. Example 1 : Construct an acute angle of 60 °. This article teaches you how to draw a 90 degrees angle using a compass and a ruler. Adding angles. To examine what this means, try the following activity. For example 90° means 90 degrees. The sum of its interior angles is 360 degrees. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. Sorry!, This page is not available for now to bookmark. What is the measure of the unlabeled angle of the triangle? This means that 120º is the supplement of 60º. 1. Angles measuring 1 degree and 89 degrees. How to Label Angles. Construct an angle of 90° at the initial point of a given ray and juste the construction. Most calculators can be set to use angles measured with either degrees or radians. What I have right in front of me is the Khan Academy measuring angles exercise. 1. Two angles of a triangle measure 30 degrees and 60 degrees. Construct the following angles and verify by measuring them by a protractor: (i) 75° (ii) 105° (iii) 135° 5. Step 3: Use the ruler to find C such that AC is 4.5 cm long. Direct students to use the inner scale if the angle opens to the right, and the outer scale if the angle opens to the left, so they can easily measure the angles. 87. Step 1 : Draw a line ‘l’ and mark a point ‘O’ on it. Median response time is 34 minutes and may be longer for new subjects. The degree measure of angle A of isosceles triangle ABC is 30 degrees. And from the constructed angles, (that are multiples of 15), it is easy to bisect them (without a protractor). Using ruler and compasses, construct the following angles: 7 5 o. 80. Step 2: Place the point of the compass at P and draw an arc that passes through Q. how to construct an angle bisector of a given angle. 80. Proving triangle congruence worksheet . Pro Lite, Vedantu An acute angle is the smallest angle measuring between 0 to 90 degrees, whereas the obtuse angle measures between 90 and 180 degrees. Place its pointer at O and with the pencil-head make an arc which meets the line OB at say, P. 1. Step 3: Now place the point of the compass at Q and draw an arc such that it passes through P. The arc drawn at this step should cut the arc drawn in the above step at R. Step 4: Now joining P to R. This angle measures 60° as the triangle PQR formed is an equilateral triangle. This arc must cut the arc which is drawn in the above step at a point R. Now place the point of the compass at R and draw an arc of the radius which is similar to the radius of PQ in order to cut the arc which is drawn at step 2 at another point S. With the point of the compass at R, draw another arc of radius the same as the radius of PQ near the point T as shown in the figure below. To construct 135 degree angle we first construct 90 degree angle and its steps of constructions are as follows: 1). We know that 30° is half of 60°. Without changing the width of the compass, place your compass at Point P and draw an arc above Positive and Negative Angles. • To construct an angle using protractor, we must need the following mathematical instruments. Now place the point of the compass at Q and draw an arc such that it passes through P. The arc drawn at this step should cut the arc drawn in the above step at R. Now joining P to R. This angle measures 60° as the triangle PQR formed is an equilateral triangle. And it's a pretty cool exercise because it has this little virtual protractor that we can use to actually measure angles. Answer: (a) A ray Hint: To construct an angle of 60 degrees we need to start at the initial point of a ray. Thus, in order to draw 60°, we need to construct an equilateral triangle. A straight angle. Now place the point of the compass at Q and draw an arc which has the radius similar to the radius of PQ. 3. how to use an angle bisector to construct some angles for example, 90 degrees, 45 degrees, 60 degrees, 30 degrees, 120 degrees, 135 degrees, 15 degrees. Sum and Difference of Angles in Trigonometry, Table of 90 - Multiplication Table of 90, Vedantu (v) Construction of An Angle of 120º Using your compass, measure the length of . 2. 96. For (a)–(d), use the ray shown as one of the rays of the angle with its endpoint as the vertex of the angle. View solution. Q. View solution. The problem as stated is impossible to solve for arbitrary angles, as proved by Pierre Wantzel in 1837. (Angles can also be measured in Radians) (Note: "Degrees" can also mean Temperature, but here we are talking about Angles) The Degree Symbol: ° We use a little circle ° following the number to mean degrees. Sum of the angles in a triangle is 180 degree worksheet. Etc. If two angles add up to measure 90° then they are known as complementary angles. (30°)/2 = 15° 7. The angles don't have to be adjacent to each other to be known as complementary. answer choices . Measuring Angles | Inner & Outer Scale. Constructing Angles Using Protractor - Examples. Join now. These kinds of minutes and seconds are like the ones on a clock — a minute is bigger than a second. Two angles whose measures together are 180° are called supplementary e.g. How to Use a Protractor to Draw an Angle. And then they give us a protractor to actually measure the angle. Q. Step 2:Take the compass and open it up to a convenient radius. By combining them you can construct other angles. The roofs of many houses are supported by a set of congruent triangular braces known as trusses. Mark the left end as point O and the right end as point B. (a) Draw the angle in standard position. Ruler. Using the properties of a rhombus it can be shown that the angle created has a measure of 30 degrees. 2) Triangle construction, when its base, difference of the other two sides and one base angle are given. Tags: Question 7 . Sol. A quadrilateral, in general, has sides of different lengths and angles of different measures. A Euclidean construction. Dear Student, 30 ° The below given steps will be followed to construct an angle of 30… 60 degree is one of the most basic constructions, which facilitates constructing angles of several other measures. Step 5: With the point of the compass at R, draw an arc to cut the arc drawn in Step 4 at T. Step 6: Join … Place the point of the compass at Q and then draw the arc which cuts the arc drawn at the above step at another point R. WIth the compass at Q, draw another arc near the point T as shown in the figure. Then measure the angles to the nearest 5 degrees using a protractor and record these measurements on your paper. Then place the point of the compass at P and draw an arc such that it passes through Q. Solution: We must find the degree measure of the other two angles of triangle ABC. 1.Taking X as centre and any radius daw an arc to Intersect the rays XA and XB, say at E and D, respectively. Mark the vertex of your angle anywhere on the paper. in the triangle, AB = 5 cm, angle BAC = 60° and AC = 4.5 cm. arrow_back Construction Of Angles Measuring 30, 45, 60, 75, 90 and 105 degrees Using Set Squares. This page shows how to construct (draw) a 30 degree angle with compass and straightedge or ruler. We can measure Angles in Degrees. In these lessons, we will learn how to construct a 30 degrees angle from a 60 degrees angle.