How are the interior and exterior angles of a triangle related?

Carol Gates

Carol Gates

Answered question

2021-01-23

How are the interior and exterior angles of a triangle related?

Answer & Explanation

Nola Robson

Nola Robson

Skilled2021-01-24Added 94 answers

The Exterior Angle Theorem states that the sum of the measurements of the two distant interior angles determines the measure of an exterior angle in a triangle (the angles that do not form a linear pair with the exterior angle). 
Consider ABC below: 
The exterior angle measures mACD=110 and the two remote interior angles have a sum of mA+mB=60+50=110. Therefore mACD=mA+mB.

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