Transitive Property of Equality Variation 2
Angle Symmetry Example 2
Distance Property 2
Distance Property 1
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
Angle Addition Theorem
Collinear Angles Property 9
Collinear Angles B
Exterior Angle
Exterior Angle B
Collinear Angles Property 10
Collinear Angles Property 3
Collinear Angles Property 3 B
Collinear Angles Property 3 C
alternate interior angles then parallel
ParallelThenAIA
Parallelthenaiashort
Commutative Property Example 2
Commutative Property Variation 1
Substitution 2
Substitution 8
Angle Symmetry B
Substitution Example 10
Substitute First Term
Triangles Sum to 180
Equality Example
If Two Angles Equal Then Three Angles Equal
Angle Angle Side Triangle

Proof: Collinear Angles Property 9

Let's prove the following theorem:

if m∠ABC = 180, then m∠BAX = m∠CAX

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∠BAX = m∠CAX if m∠CBA = 180, then m∠BAX = m∠CAX
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