Transitive Property of Equality Variation 3
Distance Property 5
Transitive Property of Equality Variation 2
Distance Property 6
Collinear Then 180
Subtract Both Sides
Add Term to Both Sides 6
Subtract Both Sides 2
Add Term to Both Sides 7
Transitive Property of Equality Variation 1
Vertical Angles
Collinear Angles Property 10
Angle Addition Theorem
Angle Symmetry Example 2
Commutative Property Variation 1
Substitution 2
Substitution 6
Rearrange Angles
Whole is Greater Than Parts
Vertical Angles 3
Collinear Angles Property 3
Collinear Angles Property 3 B
Collinear Angles Property 3 C
Exterior Angle Other

Proof: Collinear Angles Property 3 B

Let's prove the following theorem:

if m∠ABC = 180, then m∠XAC = m∠XAB

A C B X

Proof:

View as a tree | View dependent proofs | Try proving it

Given
1 m∠ABC = 180
Proof Table
# Claim Reason
1 m∠CBA = 180 if m∠ABC = 180, then m∠CBA = 180
2 m∠XAC = m∠XAB if m∠CBA = 180, then m∠XAC = m∠XAB
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