Question: We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB
We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition. We know that mZAB + mCAB = 180 by the definition of complementary angles We also know mCAB + mACB + mCBA = 180 because of the triangle angle sum theorem Using substitution, we have mZAB + mCAB = mCAB + mACB + mCBA. Therefore, we conclude mZAB = mACB + mCBA using the____________________
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