Proof: Two Collinear Angles
Let's prove the following theorem:
if m∠ABC = 180 and m∠IJK = 180 and m∠XCA = m∠YKI, then m∠XCB = m∠YKJ
Proof:
Proof Table
| # | Claim | Reason |
|---|---|---|
| 1 | m∠XCA = m∠XCB | if m∠ABC = 180, then m∠XCA = m∠XCB |
| 2 | m∠YKI = m∠YKJ | if m∠IJK = 180, then m∠YKI = m∠YKJ |
| 3 | m∠XCB = m∠YKJ | if m∠XCA = m∠YKI and m∠XCA = m∠XCB and m∠YKI = m∠YKJ, then m∠XCB = m∠YKJ |
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