PSLE PQRS and QSTU are rhombuses. RVS is a straight line.
- Find ∠SQV.
- Find ∠RST.
(a)
∠QSR
= (180° - 108°) ÷2
= 72° ÷ 2
= 36° (Isosceles triangle)
∠SQV
= 180° - 131° - 36°
= 13° (Angles sum of triangle)
(b)
∠QUT
= 360° - 295°
= 65° (Angles at a point)
∠QST = ∠QUT = 65° (Rhombus)
∠RST
= 65° - 36°
= 29°
Answer(s): (a) 13°; (b) 29°