# How is the triangle exterior angle theorem related to the triangle angle sum theorem?

Space and AstronomyThe exterior angle theorem states that **when a triangle’s side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle**.

## What can you say about the sum of an exterior angle of a triangle and its adjacent?

The sum of an exterior angle of a triangle and its adjacent angle is always **180 ^{0}**.

## What is the relationship between the exterior angle of a triangle and its two remote interior angle?

**An exterior angle of a triangle is equal to the sum of the two opposite interior angles**. The sum of exterior angle and interior angle is equal to 180 degrees.

## How do you find the sum of the exterior angles of a triangle?

Video quote: *Correct so what do you notice here is that the angle why is that one. So we have angle X Y in C. Now that forms a full circle right so we know a full circle makes how much 360 degrees so you can see*

## What does the triangle angle sum theorem tell us?

The Triangle Sum Theorem states that **the three interior angles of any triangle add up to 180 degrees**.

## What is the exterior triangle theorem?

The exterior angle theorem states that **when a triangle’s side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle**. The theorem can be used to find the measure of an unknown angle in a triangle.

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