PSLEIn the figure, PQRS is a straight line, QSTU is a parallelogram and TR = TU. ∠UPQ is a right angle, ∠PUQ = 36° and ∠STR = 12°.
- Find ∠v.
- Find ∠w.
(a)
∠UPQ = 90° (Right angle)
∠v
= 90° + 36°
= 126° (Exterior angle of a triangle)
(b)
∠STU = ∠SQU = 126° (Parallelogram)
∠RTU
= 126° - 12°
= 114°
∠w
= (180° - 114°) ÷ 2
= 33° (Isosceles triangle)
Answer(s): (a) 126°; (b) 33°