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

Carol Gates 2021-01-23 Answered
How are the interior and exterior angles of a triangle related?
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Nola Robson
Answered 2021-01-24 Author has 94 answers
By the Exterior Angle Theorem, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles (the angles that do not form a linear pair with the exterior angle).
Consider △ABC below:
The exterior angle measures m∠ACD=110∘ and the two remote interior angles have a sum of m∠A+m∠B=60∘+50∘=110∘. Therefore m∠ACD=m∠A+m∠B.
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