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