Transitive Property of Equality Variation 2
Distance Property 1
Angle Symmetry Example 2
Collinear Angles Property 9
Transitive Property Application 2
Angles of an Isosceles Triangle
Transitive Property of Equality Variation 3
Angle Symmetry Property 5
Distance Property 5
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
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
Exterior Angle Other B
Distance is Greater Than Distance 2
Angle a Greater Than Angle B
Distance Property 4
Angle Symmetry B
Isosceles Triangle Opposites
Distance is Greater Than Distance
Isosceles Triangle Opposites 2
Angle Symmetry 4
Collinear Angles Property 7
Exterior Angle Other C
If Lengths are Unequal Then Angles
Lengths Unequal Then Angles Flipped
Lengths Unequal Then Angles Flipped 2
angles unequal then lengths
Angles Unequal Then Lengths 2
Outer Gt Inner

Proof: Collinear Angles Property 7

Let's prove the following theorem:

if m∠ABC = 180, then m∠XAB = 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∠XAC = m∠XAB if m∠ABC = 180, then m∠XAC = m∠XAB
2 m∠XAB = m∠CAX if m∠XAC = m∠XAB, then m∠XAB = m∠CAX
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