Question

Find the measure of x. X = -1 X = 9 X = 13

Answer 1

Answer:

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