Question

What is the measure of each interior angle of a regular octagon? 45� 60� 120� 135�

Answer 1

135°

Explanation:

the sum of the interior angles of a polygon is

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

an octagon has 8 sides , then

sum = 180° (8 - 2) = 180° × 6 = 1080°

since the octagon is regular then the 8 interior angles are congruent, so

interior angle = 1080° ÷ 8 = 135°