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

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• △XYZ ∼ △XPY, if (m∠CAB = m∠ZXY) and (m∠ABC = m∠XYZ), then △ABC ∼ △XYZ
  • m∠ZXY = m∠YXP, if m∠ABC = m∠XYZ, then m∠CBA = m∠ZYX
    • m∠YXZ = m∠PXY
  • m∠XYZ = m∠XPY