PSLEIn the figure, RSTU is a straight line, SUVW is a parallelogram and VT = VW. ∠WRS is a right angle, ∠RWS = 35° and ∠UVT = 17°.
- Find ∠x.
- Find ∠y.
(a)
∠WRS = 90° (Right angle)
∠x
= 90° + 35°
= 125° (Exterior angle of a triangle)
(b)
∠UVW = ∠USW = 125° (Parallelogram)
∠TVW
= 125° - 17°
= 108°
∠y
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
Answer(s): (a) 125°; (b) 36°