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
Proof:
Given
1 | ∠ABC is a right angle |
---|---|
2 | ∠DEF is a right angle |
# | 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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