PSLE PQRS and QSTU are rhombuses. RVS is a straight line.
- Find ∠SQV.
- Find ∠RST.
(a)
∠QSR
= (180° - 98°) ÷2
= 82° ÷ 2
= 41° (Isosceles triangle)
∠SQV
= 180° - 120° - 41°
= 19° (Angles sum of triangle)
(b)
∠QUT
= 360° - 296°
= 64° (Angles at a point)
∠QST = ∠QUT = 64° (Rhombus)
∠RST
= 64° - 41°
= 23°
Answer(s): (a) 19°; (b) 23°