Proof: Vertical Angles Apply
Let's prove the following theorem:
if m∠WSX = 180 and m∠YSZ = 180 and ray SX bisects ∠TSZ, then m∠WSY = m∠TSX
Proof:
Proof Table
# | Claim | Reason |
---|---|---|
1 | m∠TSX = m∠XSZ | if ray SX bisects ∠TSZ, then m∠TSX = m∠XSZ |
2 | m∠XSZ = m∠WSY | if m∠WSX = 180 and m∠YSZ = 180, then m∠XSZ = m∠WSY |
3 | m∠WSY = m∠TSX | if m∠TSX = m∠XSZ and m∠XSZ = m∠WSY, then m∠WSY = m∠TSX |
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