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
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