Question

Given: m∠A + m∠B = m∠B + m∠C Prove: m∠C = m∠A

Answer 1

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Answer 2

See below.

Explanation:

m∠A + m∠B = m∠B + m∠C

Use the subtraction property of equality to subtract m<B from both sides of the equation.

m∠A + m∠B - m<B = m∠B - m<B + m∠C

m∠A = m∠C