1.          complete the paragraph proof given:   ∠a and ∠b are complementary, and ∠b and ∠c are complementary prove:     ∠a ≌ ∠cby 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

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