Question

question 1 (multiple choice with 1 parts)
(01.07 lc)
find the measure of x
135°
15(x + 1)
x = 8
x = 7
x = 9
x = 11

Explanation:

Step1: Identify angle - relationship

Assume the two vertical lines are parallel. The angle 135° and the angle with measure 15(x + 1) are corresponding angles (if the lines are parallel), and corresponding angles are equal.
So, 15(x + 1)=135.

Step2: Solve the equation for x

First, distribute the 15 on the left - hand side: 15x+15 = 135.
Then, subtract 15 from both sides: 15x=135 - 15, so 15x = 120.
Finally, divide both sides by 15: x=\frac{120}{15}=8.

Answer:

x = 8