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
