Question

Geometry math question

Answer 1

Sum of interior angles of a regular polygon = (n-2)*180

Sum of interior angles of a regular octagon = (8-2)*180 = 6*180

The measure of one interior angle of a regular octagon = (6*180)/8 = 135⁰

Answer is D.135.

Answer 2

Use the formula (n - 2) * 180 to find the sum of the measures of the interior angles of a polygon, where n is the number of sides.

An octagon has 8 sides, so plug in 8 for n.

(8 - 2) * 180 = 1,080

Now divide this by the number of sides of an octagon, 8.

1,080/8 = 135

The measure of one interior angle of an octagon is 135 degrees.

D) 135