 # What is exterior angle theorem proof?

## What is exterior angle theorem proof?

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. m∠4=m∠1+m∠2. Proof: Given: ΔPQR.

## Why is exterior angles always sum to 360?

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 is the sum of the 3 exterior angles of a triangle?

A triangle is a three-sided polygon with three sides, three vertices, and three edges. The exterior angle of a triangle is defined as the angle formed between one of its sides and its adjacent extended side. The sum of exterior angles of a triangle is equal to 360 degrees.

### How do you find an exterior angle?

To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.

How to solve for an exterior angle?

Sum of exterior angles of a polygon. The sum of the exterior angles of any polygon is always equal to 360°.

• Exterior angles of a regular polygon. A regular polygon is a geometric figure that has all its sides with the same length and all its interior angles with the same
• Solved examples of exterior angles of polygons.
• ## How do you calculate exterior angles?

– The measure of each exterior angle is 360°/n – Sum of exterior angles of a polygon is ∠a’ + ∠b’ + ∠c’ + ….. + ∠n’ = 360°. – The sum of the exterior angles is 360°.

## How do you solve exterior angles?

the Exterior Angle Theorem

• how to use the Exterior Angle Theorem to solve problems
• how to prove the Exterior Angle Theorem