The complete proof of m∠1 = m∠3 is as explained below.
How to prove Opposite Angles?
Statement 1; ∠1 and ∠3 are vertical Angles
Reason 1; Given
Statement 2; ∠1 and ∠2 are Linear pairs and ∠2 and ∠3 are linear pairs
Reason 2; Definition of Linear Pairs
Statement 3; ∠1 and ∠2 are supplementary angles and ∠2 and ∠3 are supplementary angles
Reason 3; Definition of Supplementary Angles
Statement 4; m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°
Reason 4; Substitution property of Equality
Statement 5; m∠1 = m∠3
Reason 5; Subtraction Property of Equality
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