PSLE PQRS and QSTU are rhombuses. RVS is a straight line.
- Find ∠SQV.
- Find ∠RST.
(a)
∠QSR
= (180° - 102°) ÷2
= 78° ÷ 2
= 39° (Isosceles triangle)
∠SQV
= 180° - 132° - 39°
= 9° (Angles sum of triangle)
(b)
∠QUT
= 360° - 277°
= 83° (Angles at a point)
∠QST = ∠QUT = 83° (Rhombus)
∠RST
= 83° - 39°
= 44°
Answer(s): (a) 9°; (b) 44°