PSLEIn the figure, PQRS is a straight line, QSTU is a parallelogram and TR = TU. ∠UPQ is a right angle, ∠PUQ = 31° and ∠STR = 17°.
- Find ∠v.
- Find ∠w.
(a)
∠UPQ = 90° (Right angle)
∠v
= 90° + 31°
= 121° (Exterior angle of a triangle)
(b)
∠STU = ∠SQU = 121° (Parallelogram)
∠RTU
= 121° - 17°
= 104°
∠w
= (180° - 104°) ÷ 2
= 38° (Isosceles triangle)
Answer(s): (a) 121°; (b) 38°