PSLEIn the figure, PQRS is a straight line, QSTU is a parallelogram and TR = TU. ∠UPQ is a right angle, ∠PUQ = 25° and ∠STR = 21°.
- Find ∠v.
- Find ∠w.
(a)
∠UPQ = 90° (Right angle)
∠v
= 90° + 25°
= 115° (Exterior angle of a triangle)
(b)
∠STU = ∠SQU = 115° (Parallelogram)
∠RTU
= 115° - 21°
= 94°
∠w
= (180° - 94°) ÷ 2
= 43° (Isosceles triangle)
Answer(s): (a) 115°; (b) 43°