Proof: If Two Angles Equal Then Similar Triangles 2

Let's prove the following theorem:

if m∠XYZ = m∠XPY and m∠YXZ = m∠PXY, then △XYZ ∼ △XPY

Y Z X P

Proof:

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Given
1 m∠XYZ = m∠XPY
2 m∠YXZ = m∠PXY
Proof Table
# Claim Reason
1 m∠ZXY = m∠YXP if m∠YXZ = m∠PXY, then m∠ZXY = m∠YXP
2 △XYZ ∼ △XPY if m∠ZXY = m∠YXP and m∠XYZ = m∠XPY, then △XYZ ∼ △XPY

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