Given: m // n
Prove: 24 and 26 are supplementary
Proof:
Statements
1. m // n
2. m26 m27
3.?
m
4. m24+ m27 = 180°
12
3 4
5 6
7 8
Reasons
Given
Vertical angles theorem
Same-side interior angles theorem
Definition of supplementary angles
5. m24+ m26 = 180°
Substitution property of equality
6. 24 and 26 are supplementary Definition of supplementary angles

Given m n Prove 24 and 26 are supplementary Proof Statements 1 m n 2 m26 m27 3 m 4 m24 m27 180 12 3 4 5 6 7 8 Reasons Given Vertical angles theorem Sameside int class=