Complete the two-column proof. Given: and%C2%A0 and are supplementary%C2%A0 Prove: x%C2%A0=15 %C2%A0 %C2%A0Statement %C2%A0Reason %C2%A0 and and%C2%A0are supplementary given%C2%A0 definition of supplementary angles 5x + 7x = 180 a._______________ 12x = 180 b._______________ x=15 c._______________
Statement Reason
1. Given: and are supplementary Given
2. Definition of supplementary angles definition of supplementary angles
3. 5x + 7x = 180 Substitution (replace and with their measures)
4. 12x = 180 Combine like terms
5. Divide both sides by 12 Division Property of Equality
6. x = 15 Simplification