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 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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