Question

What is the value of x that makes PQ || RS

a. 42
b. 55
c. 51
d. 100
pls give a step to step explanation if you can

Answer 1

x = 55

Explanation:

These are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

3x-65 = 2x-10

Subtract 2x from each side

3x-2x -65 = 2x-2x-10

x-65 = -10

Add 65 to each side

x-65+65 = -10+65

x = 55