Question

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

Answer 1

Answer:

$x = 15$

Step-by-step 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

$\frac{13x}{13} = \frac{195}{13}$

$x = 15$