Question

find the measure of x.
135°
15(x + 2)
x = 8
x = 7
x = 9
x = 11

Explanation:

Step1: Identify angle - relationship

Assume the two vertical lines are parallel. The angle of 135° and the angle represented by 15(x + 2) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal. So, 15(x + 2)=135.

Step2: Solve the equation

First, expand the left - hand side: 15x+30 = 135. Then subtract 30 from both sides: 15x=135 - 30, so 15x = 105. Divide both sides by 15: $x=\frac{105}{15}=7$.

Answer:

x = 7