Answer:
The measure of an interior angle of a regular 15-gon is 120°.
Step-by-step 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°.
