Proof: Right Angle Theorem

Let's prove the following theorem:

if ∠ABC is a right angle and ∠DEF is a right angle, then m∠ABC = m∠DEF

A B C D E F

Proof:

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Given
1 ∠ABC is a right angle
2 ∠DEF is a right angle
Proof Table
# Claim Reason
1 m∠ABC = 90 if ∠ABC is a right angle, then m∠ABC = 90
2 m∠DEF = 90 if ∠DEF is a right angle, then m∠DEF = 90
3 m∠ABC = m∠DEF if m∠ABC = 90 and m∠DEF = 90, then m∠ABC = m∠DEF

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