# What does an interior and exterior angle add up to?

## What does an interior and exterior angle add up to?

180°
Calculating the exterior angles of regular polygons Remember the interior and exterior angle add up to 180°.

## Why do exterior angles add up to 360?

The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. Because the exterior angles are supplementary to the interior angles, they measure, 130, 110, and 120 degrees, respectively. Summed, the exterior angles equal 360 degreEs.

What does the exterior angle theorem add up to?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle. The exterior angle and the adjacent interior angle are supplementary. All the exterior angles of a triangle sum up to 360º.

Do the measures of an exterior angle and the adjacent?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.) FACTS: The 2 exterior angles at each vertex are = in measure because they are vertical angles.

### What is the size of an exterior angle of a shape with 15 sides?

24
Exterior angle=24 for polygon of 15 sides.

### Are all sum of exterior angles always 360?

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.

What is the sum of all exterior angle of a triangle?

360°
One can also consider the sum of all three exterior angles, that equals to 360° in the Euclidean case (as for any convex polygon), is less than 360° in the spherical case, and is greater than 360° in the hyperbolic case.

What is the measurement of an exterior angle?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle. Definition of linear pair. If two angles form a linear pair, they are supplementary.

## What is the measure of exterior angle of a triangle?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.)