Measurement of Angles – Examples

Table of Contents

• Angle Measurement Examples
• Constructing Angles
• What’s Next?

In the previous segment, we learned how angles are measured in degrees using a protractor. We shall now solve a few examples to get a better understanding of the concept.

Examples of angle measurement

Example 1

40^∘ acute angle

• The given angle has to be measured in the anticlockwise direction.
• Place the 0^∘ mark on the initial arm and observe the position of the terminal arm using the measurements on the inner semicircle of the protractor.
• This angle measures 40^∘

Example 2

38^∘ acute angle

• The given angle has to be measured in the anticlockwise direction.
• Place the0^∘mark on the initial arm and observe the position of the terminal arm using the measurements on the outer semicircle of the protractor.
• This angle measures 40^∘

Example 3

130^∘ obtuse angle

• The given angle does not have its initial arm parallel to the plane of the paper. Hence, any one of the two rays can be considered as the initial arm.
• Place the 0^∘of the protractor on the initial arm, coincide the vertex with the centre and

observe the second arm of the angle which is now the terminal arm.

• This angle will be measured in the anticlockwise direction using the measurements on the inner semicircle of the protractor.
• This angle measures 40^∘.

Example 4