Proof: Outer Triangle Theorem

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	m∠YXZ = m∠XYZ	if distance XZ = distance YZ, then m∠YXZ = m∠XYZ (Angles of an Isosceles Triangle)
2	m∠ZYX = m∠YXZ	if m∠YXZ = m∠XYZ, then m∠ZYX = m∠YXZ (Angle Symmetry Property 5)
3	m∠ZYX > m∠ZPY	if m∠XYP = 180, then m∠ZYX > m∠ZPY (Exterior Angle Other B)
4	m∠YXZ > m∠ZPY	if m∠ZYX > m∠ZPY and m∠ZYX = m∠YXZ, then m∠YXZ > m∠ZPY (Transitive Property of Inequality 4)
5	m∠ZXY > m∠ZPY	if m∠YXZ > m∠ZPY, then m∠ZXY > m∠ZPY (Distance is Greater Than Distance 2)
6	m∠ZXP > m∠ZPX	if m∠ZXY > m∠ZPY and m∠XYP = 180, then m∠ZXP > m∠ZPX (Angle a Greater Than Angle B)
7	distance ZP > distance ZX	if m∠ZXP > m∠ZPX, then distance ZP > distance ZX (Unequal Angles Theorem 2)

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