Question

Find the value of x that would prove y is parallel to z. State the converse used to support your answer.

Answer 1

`x = 15`

Explanation:

By the Consecutive Interior Angles Converse, if
`(3x + 7) + (10x - 22) = 180`, then y is parallel to z.

Solve for x

`3x + 7 + 10x - 22 = 180`

Combine like terms

`3x + 10x + 7 - 22 = 180`

`13x - 15 = 180`

Add 15 to both sides

`13x - 15 + 15 = 180 + 15`

`13x = 195`

Divide both sides by 13

`(13x)/(13) = (195)/(13)`

`x = 15`