PSLEIn the figure, PQRS is a straight line, QSTU is a parallelogram and TR = TU. ∠UPQ is a right angle, ∠PUQ = 23° and ∠STR = 13°.
- Find ∠v.
- Find ∠w.
(a)
∠UPQ = 90° (Right angle)
∠v
= 90° + 23°
= 113° (Exterior angle of a triangle)
(b)
∠STU = ∠SQU = 113° (Parallelogram)
∠RTU
= 113° - 13°
= 100°
∠w
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
Answer(s): (a) 113°; (b) 40°