Question

A regular assignment has 15 sides.Calculate the size of each interior angle

Answer 1

The measure of an interior angle of a regular 15-gon is 120°.

Explanation:

We need to determine the measure of the size of an interior angle of a regular 15-gon having 15 sides.

Thus,

The number of sides n = 15

Hence,

Using the formula to determine the measure of an interior angle of a regular 15-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 15

(15 - 2) × 180 = 15 × interior angle

13 × 180 = 15 × interior angle

Interior angle = (10 × 180) / 15

= 1800 / 15

= 120°

Therefore, the measure of an interior angle of a regular 15-gon is 120°.