PSLEIn the figure, PQRS is a straight line, QSTU is a parallelogram and TR = TU. ∠UPQ is a right angle, ∠PUQ = 27° and ∠STR = 15°.
- Find ∠v.
- Find ∠w.
(a)
∠UPQ = 90° (Right angle)
∠v
= 90° + 27°
= 117° (Exterior angle of a triangle)
(b)
∠STU = ∠SQU = 117° (Parallelogram)
∠RTU
= 117° - 15°
= 102°
∠w
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
Answer(s): (a) 117°; (b) 39°