Proof: Congruent Triangles to Angles

Let's prove the following theorem:

if △ABC ≅ △DEF, then m∠BAC = m∠FDE

A B C D E F

Proof:

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Given
1 △ABC ≅ △DEF
Proof Table
# Claim Reason
1 m∠CAB = m∠FDE if △ABC ≅ △DEF, then m∠CAB = m∠FDE
2 m∠CAB = m∠BAC m∠CAB = m∠BAC
3 m∠BAC = m∠FDE if m∠CAB = m∠BAC and m∠CAB = m∠FDE, then m∠BAC = m∠FDE

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