# polygon angle sum theorem , exterior angle of a polygon

Jun 29, 2022 ## How do you find the sum of the angle measures for a polygon?

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.

## What is the polygon exterior angle theorem?

Polygon Exterior Angle Sum Theorem If a polygon is a convex polygon, then the sum of its exterior angles (one at each vertex) is equal to 360 degrees.

## How do you find the exterior angle of a polygon?

The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.

## Are exterior angles always 180?

The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line.

## What is one exterior angle of a polygon?

Exterior angles of a polygon have several unique properties. The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. an exterior angle.

## Is the exterior angle of a polygon 360?

The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. This is a result of the interior angles summing to 180(n-2) degrees and each exterior angle being, by definition, supplementary to its interior angle.