Proof: Angles of an Equilateral Triangle 3
Let's prove the following theorem:
if △XYZ is an equilateral triangle, then m∠YZX = m∠ZXY
Proof:
Given
1 | △XYZ is an equilateral triangle |
---|
# | Claim | Reason |
---|---|---|
1 | m∠ZXY = m∠XZY | if △XYZ is an equilateral triangle, then m∠ZXY = m∠XZY |
2 | m∠XZY = m∠YZX | m∠XZY = m∠YZX |
3 | m∠YZX = m∠ZXY | if m∠ZXY = m∠XZY and m∠XZY = m∠YZX, then m∠YZX = m∠ZXY |
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