In the diagram above, ∠PTQ = ∠URP = 25° and XPU = 4URP. Calculate ∠USQ.
- A.
100^{o} - B.
120^{o} - C.
125^{o} - D.
130^{o} - E.
150^{o}
Correct Answer: Option D
Explanation
Since < URP = 25°, then < XPU = 4 x 25° = 100°
(therefore) < TPQ = 180° – 100° = 80°
(therefore) < PQT = 180° – (80° + 25°) = 75°
< SQR = 75° – 25° = 50° (exterior angle = 2 opp interior angles)
(therefore) < USQ = 180° – 50° = 130°