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._______________

Question

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._______________

GPT 3.5 · Answer

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