PSLE NPQR and PRST are rhombuses. QUR is a straight line.
- Find ∠RPU.
- Find ∠QRS.
(a)
∠PRQ
= (180° - 100°) ÷2
= 80° ÷ 2
= 40° (Isosceles triangle)
∠RPU
= 180° - 123° - 40°
= 17° (Angles sum of triangle)
(b)
∠PTS
= 360° - 292°
= 68° (Angles at a point)
∠PRS = ∠PTS = 68° (Rhombus)
∠QRS
= 68° - 40°
= 28°
Answer(s): (a) 17°; (b) 28°