Proof: Exterior Angle Equal to Sum of Nonadjacent 2
Let's prove the following theorem:
if m∠XYZ = 180, then (m∠WXY) + (m∠XWY) = m∠WYZ
Proof:
Given
1 | m∠XYZ = 180 |
---|
# | Claim | Reason |
---|---|---|
1 | m∠WYZ = (m∠WXY) + (m∠YWX) | if m∠XYZ = 180, then m∠WYZ = (m∠WXY) + (m∠YWX) |
2 | m∠YWX = m∠XWY | m∠YWX = m∠XWY |
3 | (m∠WXY) + (m∠XWY) = m∠WYZ | if m∠WYZ = (m∠WXY) + (m∠YWX) and m∠YWX = m∠XWY, then (m∠WXY) + (m∠XWY) = m∠WYZ |
Comments
Please log in to add comments