PSLE NPQR and PRST are rhombuses. QUR is a straight line.
- Find ∠RPU.
- Find ∠QRS.
(a)
∠PRQ
= (180° - 110°) ÷2
= 70° ÷ 2
= 35° (Isosceles triangle)
∠RPU
= 180° - 122° - 35°
= 23° (Angles sum of triangle)
(b)
∠PTS
= 360° - 287°
= 73° (Angles at a point)
∠PRS = ∠PTS = 73° (Rhombus)
∠QRS
= 73° - 35°
= 38°
Answer(s): (a) 23°; (b) 38°