Find the measure of the interior angles of an 8-sided regular polygon?

Find the measure of the interior angles of an 8-sided regular polygon?

Explanation

The formula for the sum of interior angles of a polygon is:

(n - 2) × 180°

For an 8-sided polygon (n = 8):

Sum of interior angles = (8 - 2) × 180°

= 6 × 180°

= 1080°

Since it's a regular polygon, all interior angles are equal:

Measure of each interior angle = 1080°/8

= 135°