Question

Determine the degree measure of one angle of a 24-sided regular polygon. 165� 180� 3,960� 4,320�

Answer 1

165°

Explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 24 , then

sum = 180° × (24 - 2 ) = 180° × 22 = 3960°

since the polygon is regular then the 24 angles are congruent , so

one interior angle = 3960° ÷ 24 = 165°