PSLE NPQR and PRST are rhombuses. QUR is a straight line.
- Find ∠RPU.
- Find ∠QRS.
(a)
∠PRQ
= (180° - 104°) ÷2
= 76° ÷ 2
= 38° (Isosceles triangle)
∠RPU
= 180° - 122° - 38°
= 20° (Angles sum of triangle)
(b)
∠PTS
= 360° - 293°
= 67° (Angles at a point)
∠PRS = ∠PTS = 67° (Rhombus)
∠QRS
= 67° - 38°
= 29°
Answer(s): (a) 20°; (b) 29°