Proof: Exterior Angle B

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	m∠XZE = 180	if m∠EZX = 180, then m∠XZE = 180 (Angle Symmetry Example 2)
2	m∠ZYX < m∠YZE	if m∠XZE = 180, then m∠ZYX < m∠YZE (Exterior Angle is Greater)
3	m∠YZE > m∠ZYX	if m∠ZYX < m∠YZE, then m∠YZE > m∠ZYX (Symmetric Inequality Property 2)
4	m∠YZE = m∠EZY	m∠YZE = m∠EZY (Angle Symmetry Property)
5	m∠EZY > m∠ZYX	if m∠YZE > m∠ZYX and m∠YZE = m∠EZY, then m∠EZY > m∠ZYX (Transitive Property of Inequality 4)

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