PSLE LMNP and MPQR are rhombuses. NSP is a straight line.
- Find ∠PMS.
- Find ∠NPQ.
(a)
∠MPN
= (180° - 110°) ÷2
= 70° ÷ 2
= 35° (Isosceles triangle)
∠PMS
= 180° - 129° - 35°
= 16° (Angles sum of triangle)
(b)
∠MRQ
= 360° - 295°
= 65° (Angles at a point)
∠MPQ = ∠MRQ = 65° (Rhombus)
∠NPQ
= 65° - 35°
= 30°
Answer(s): (a) 16°; (b) 30°