Will mark brainliest! plz help! Find the measure of x.

Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line PU at point R, line ST intersects line PU at point S, the measure of angle PRQ is 135 degrees, and the measure of angle UST is 15 ( x plus 2 ) degrees.

x = −1
x = 7
x = 9
x = 13

B) x=7

Step-by-step explanation:

Angles PRQ and UST are called alternate exterior angles (because they are on opposite sides of the transversal PU and are outside the parallel lines QR and ST) , which are congruent to each other. Therefore, we can set up an equation to find x:

135=15(x+2)

135=15x+30

105=15x

7=x

x=7

Therefore, option B which is x=7 is the correct choice.

77

step-by-step explanation: