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For example, if we need to measure an angle using a protractor, we use the following steps. It can be read using its inner readings or its outer readings depending on the angle that is formed. How to Measure Angles with a Protractor?Ī protractor is used to measure and draw angles. They are known as 360-degree protractors or full circle protractors. There are other protractors that are circular in shape which can measure complete 360-degree angles. The common protractor which is used in geometry is in the shape of a semicircle with markings of angles from 0° to 180° on it. Step 5: Mark a point C at 50° and join O to C.Step 4: Since the angle is to be formed on the right-hand side of the protractor, we will use the inner readings and look for 50°.Step 3: Align the baseline of the protractor with the line OB.Step 2: Mark the point O and place the center of the protractor at O.The following steps can be used to draw angles using a protractor. How to Use a Protractor to Draw Angles?Ī protractor can be used to measure and draw angles. A common protractor is in the shape of a semicircle that has an inner and an outer scale with markings from 0° to 180° on it. To reduce errors, align the baseline and vertex properly.įAQs on Protractor What is a Protractor in Geometry?Ī protractor is a simple measuring instrument that is used to measure or draw angles in degrees.If the angle to be measured is on the left-hand side from the center of the protractor, we use the outer readings of the protractor and if the angle to be measured is on the right-hand side of the center, we use the inner readings.The angle protractor tool and 360° protractor give more precise measurements. We can also use a 360° protractor to draw a reflex angle.It is commonly used in the field of architecture, mechanical drawings, and meteorology. Therefore, ∠CAB = 40°.Ī 360° protractor is circular in shape and has readings up to 360° in the clockwise direction. Step 5: Now using a scale, join A and C.Step 4: In the inner readings, look for 40º and mark it as point C.Step 3: Since the angle is drawn on the right-hand side of the vertex we will see the inner readings.Step 2: Align the baseline of the protractor on AB such that the center of the protractor is placed on point A.Let us see how to draw an angle of 40º using a protractor. In order to draw angles using a protractor, we use the following steps. This can be verified by the values, that is, 150º + 30º = 180º. It should be noted that ∠AOC + ∠BOC form a straight line and hence add up to 180. Step 2: Check the reading where the ray OC is formed.Since we need to measure ∠AOC, which is formed on the left-hand side of the center, we will use the outer readings which go clockwise. Step 1: Place the baseline of the protractor on line AO such that the centre of the protractor is placed on vertex O.Now, let us find the measure of ∠AOC using the following steps. Step 3: Now, identify the reading on the protractor where ray C is extending.Step 2: Since the angle is formed on the right-hand side of the center, we will use the inner readings which go anti-clockwise.Step 1: In order to measure the angle ∠BOC, align the baseline of the protractor with the line AB such that the center circle of the protractor is at the vertex O.In this case, ∠BOC = 120°.įor measuring angles with a protractor, let us use the following steps and relate to the figure given below. Step 4: If the angle to be measured is formed on the right-hand side from the center of the protractor, we need to use the inner readings of the protractor.If the angle to be measured is formed on the left-hand side from the center of the protractor, we need to use the outer reading of the protractor. Step 3: Decide which readings are to be followed.Step 2: Place the baseline of the protractor on the ray which is the base of the angle.Step 1: We first need to pIace the center (hole) of the protractor on the vertex O.
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Observe the following figure to know how to read a protractor and relate to the steps given below. Each inner reading and outer reading supplements each other, i.e., they add up to 180°. How to Read a Protractor?Ī protractor can be read using its inner readings or its outer readings depending on the angle that is formed. It has two readings - the outer reading and the inner reading that help to measure a given angle. A protractor is an instrument which is very easy to use.