Proof: Angles of an Equilateral Triangle 4
Let's prove the following theorem:
if △XYZ is an equilateral triangle, then m∠XYZ = m∠YZX
Proof:
Given
1 | △XYZ is an equilateral triangle |
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# | Claim | Reason |
---|---|---|
1 | m∠XYZ = m∠YXZ | if △XYZ is an equilateral triangle, then m∠XYZ = m∠YXZ |
2 | m∠YXZ = m∠ZXY | m∠YXZ = m∠ZXY |
3 | m∠YZX = m∠ZXY | if △XYZ is an equilateral triangle, then m∠YZX = m∠ZXY |
4 | m∠XYZ = m∠YZX | if m∠XYZ = m∠YXZ and m∠YZX = m∠ZXY and m∠YXZ = m∠ZXY, then m∠XYZ = m∠YZX |
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