PSLEIn the figure, PQRS is a straight line, QSTU is a parallelogram and TR = TU. ∠UPQ is a right angle, ∠PUQ = 34° and ∠STR = 18°.
- Find ∠v.
- Find ∠w.
(a)
∠UPQ = 90° (Right angle)
∠v
= 90° + 34°
= 124° (Exterior angle of a triangle)
(b)
∠STU = ∠SQU = 124° (Parallelogram)
∠RTU
= 124° - 18°
= 106°
∠w
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
Answer(s): (a) 124°; (b) 37°