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# How do you use the exterior angles of a triangle to find interior angle measurements?

Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right, <4 is an exterior angle.

The theorem above states that if <4 is an exterior angle, its measure is equal to the sum of the measures of the 2 interior angles to which it is not adjacent, namely, <2 and <3.

Since the measure of an exterior angle equals the sum of its two non-adjacent interior angles, the exterior angle is also greater than either of the individual non-adjacent interior angles.

Theorem: The measure of an exterior angle of a triangle is greater than either of its two non-adjacent interior angles.

For more details refer the link mentioned below.

Angles on a straight line add up to 180 degrees and so 180-exterior angle = interior angle Study guides

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## Properties that describe the appearance of matter are known as what properties

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