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Triangle Relations and Inequalities
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Interior and Exterior Angles of Triangles

There exists a relationship among the interior and exterior angles of a triangle as expressed by the Exterior Angle Theorem.

Theorem. Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

Given: BCD is an exterior angle of ΔABC.
Prove: mBCD=mBAC+mABC

Proof: