PSLE NPQR and PRST are rhombuses. QUR is a straight line.
- Find ∠RPU.
- Find ∠QRS.
(a)
∠PRQ
= (180° - 96°) ÷2
= 84° ÷ 2
= 42° (Isosceles triangle)
∠RPU
= 180° - 124° - 42°
= 14° (Angles sum of triangle)
(b)
∠PTS
= 360° - 285°
= 75° (Angles at a point)
∠PRS = ∠PTS = 75° (Rhombus)
∠QRS
= 75° - 42°
= 33°
Answer(s): (a) 14°; (b) 33°