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° - 132° - 38°
= 10° (Angles sum of triangle)
(b)
∠MRQ
= 360° - 299°
= 61° (Angles at a point)
∠MPQ = ∠MRQ = 61° (Rhombus)
∠NPQ
= 61° - 38°
= 23°
Answer(s): (a) 10°; (b) 23°