Proof: Unequal Angles Theorem 2

Let's prove the following theorem:

if m∠ZXY > m∠ZYX, then distance ZY > distance ZX

Z Y X

Proof:

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Given
1 m∠ZXY > m∠ZYX
Proof Table
# Claim Reason
1 m∠ZYX = m∠XYZ m∠ZYX = m∠XYZ
2 m∠ZXY > m∠XYZ if m∠ZXY > m∠ZYX and m∠ZYX = m∠XYZ, then m∠ZXY > m∠XYZ
3 distance ZY > distance ZX if m∠ZXY > m∠XYZ, then distance ZY > distance ZX

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