Triangle Angle Theorems

Question 1

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Revolt · Accepted Answer

10

Question 2

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.

Revolt · Accepted Answer

We know that m∠ZAB + m∠CAB = 180° by the .: angle addition postulate; We also know m∠CAB + m∠ACB + m∠CBA = 180° because .: of the triangle angle sum theorem; Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the .: subtraction property

Triangle Angle Theorems Answers

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