PSLEIn the figure, PQRS is a straight line, QSTU is a parallelogram and TR = TU. ∠UPQ is a right angle, ∠PUQ = 30° and ∠STR = 22°.
- Find ∠v.
- Find ∠w.
(a)
∠UPQ = 90° (Right angle)
∠v
= 90° + 30°
= 120° (Exterior angle of a triangle)
(b)
∠STU = ∠SQU = 120° (Parallelogram)
∠RTU
= 120° - 22°
= 98°
∠w
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
Answer(s): (a) 120°; (b) 41°