Find the measure of x.

x = -1
x = 9
x = 13

x = 7

Step-by-step explanation:

Given that ∠PRQ = 135°

therefore ∠ QRS = 180 - 135 = 45° (both the 2 adjacent angles sit on the straight line)

Since ∠ QRS = 45°

therefore ∠RST = 45° ( They are alternate angles)

Since ∠RST = 45°

therefore ∠UST = 180 - 45 = 135°  (both the 2 adjacent angles sit on the straight line)

∠UST =  135°  

∠UST = 15(x + 2)

therefore,

15(x + 2) = 135

x + 2 = 9

x = 7

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.