Question

Find the measure of an interior angle of a regular polygon having 20 sides

full step for 3 marks​

Answer 1

Answer:

162°

Step-by-step explanation:

The sum of the interior angles in a regular polygon with n sides is found through the formula

180˚(n−2)

Here, n=20, so the sum of the interior angles is

180˚(20−2)=180˚(18)=3240˚

To find just one angle, divide 3240˚ by 20 since all 20 angles are congruent.

3240˚/20=162˚