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° - 129° - 42°
= 9° (Angles sum of triangle)
(b)
∠PTS
= 360° - 304°
= 56° (Angles at a point)
∠PRS = ∠PTS = 56° (Rhombus)
∠QRS
= 56° - 42°
= 14°
Answer(s): (a) 9°; (b) 14°