Transitive Property of Equality Variation 2
Collinear Then 180
Converse of the Supplementary Angles Theorem
Right Angle is 90 Degres
Commutative Property Example 2
Commutative Property Variation 1
Substitution 2
Substitution 8
Subtract Both Sides
Subtraction Example 2
Add Number to Both Sides
Add Number to Both Sides 2
Angle Symmetry Example 2
Transitive Property of Equality Variation 1
Right Angles are Equal
Collinear Angles Property C
Angle Symmetry Example
Similar Triangles
Similar Triangles Example 3

Proof: Angle Symmetry Example

Let's prove the following theorem:

if m∠ABC = m∠XYZ, then m∠ABC = m∠ZYX

A B C X Y Z

Proof:

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

Given
1 m∠ABC = m∠XYZ
Proof Table
# Claim Reason
1 m∠XYZ = m∠ZYX m∠XYZ = m∠ZYX
2 m∠ABC = m∠ZYX if m∠ABC = m∠XYZ and m∠XYZ = m∠ZYX, then m∠ABC = m∠ZYX
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