PSLE LMNP and MPQR are rhombuses. NSP is a straight line.
- Find ∠PMS.
- Find ∠NPQ.
(a)
∠MPN
= (180° - 100°) ÷2
= 80° ÷ 2
= 40° (Isosceles triangle)
∠PMS
= 180° - 125° - 40°
= 15° (Angles sum of triangle)
(b)
∠MRQ
= 360° - 275°
= 85° (Angles at a point)
∠MPQ = ∠MRQ = 85° (Rhombus)
∠NPQ
= 85° - 40°
= 45°
Answer(s): (a) 15°; (b) 45°