PSLE LMNP and MPQR are rhombuses. NSP is a straight line.
- Find ∠PMS.
- Find ∠NPQ.
(a)
∠MPN
= (180° - 104°) ÷2
= 76° ÷ 2
= 38° (Isosceles triangle)
∠PMS
= 180° - 124° - 38°
= 18° (Angles sum of triangle)
(b)
∠MRQ
= 360° - 292°
= 68° (Angles at a point)
∠MPQ = ∠MRQ = 68° (Rhombus)
∠NPQ
= 68° - 38°
= 30°
Answer(s): (a) 18°; (b) 30°