Question

1.      Complete the paragraph proof

Given:  ∠A and ∠B are complementary, and ∠B and ∠C are complementary

Prove:  ∠A ≌ ∠ C

By definition of complementary angles, m∠A + _____ = 90° and m∠B + m∠C+ _______. Then, m∠A + m∠B = m∠B + m∠C by the _____________________________. Subtract
m∠B from each side. You get ________= m∠C or _________ ≅ ∠C

Answer 1

Given that ∠A and ∠B are complementary, and ∠B and ∠C are complementary We prove that ∠A ≌ ∠C:By definition of complementary angles, m∠A + m∠B = 90° and m∠B + m∠C = 90°.

Then, m∠A + m∠B = m∠B + m∠C by the substitution property of equality.

Subtract m∠B from each side. You get m∠A = m∠C or ∠A ≅ ∠C