PSLE PQRS and QSTU are rhombuses. RVS is a straight line.
- Find ∠SQV.
- Find ∠RST.
(a)
∠QSR
= (180° - 106°) ÷2
= 74° ÷ 2
= 37° (Isosceles triangle)
∠SQV
= 180° - 129° - 37°
= 14° (Angles sum of triangle)
(b)
∠QUT
= 360° - 284°
= 76° (Angles at a point)
∠QST = ∠QUT = 76° (Rhombus)
∠RST
= 76° - 37°
= 39°
Answer(s): (a) 14°; (b) 39°