PSLE LMNP and MPQR are rhombuses. NSP is a straight line.
- Find ∠PMS.
- Find ∠NPQ.
(a)
∠MPN
= (180° - 98°) ÷2
= 82° ÷ 2
= 41° (Isosceles triangle)
∠PMS
= 180° - 130° - 41°
= 9° (Angles sum of triangle)
(b)
∠MRQ
= 360° - 282°
= 78° (Angles at a point)
∠MPQ = ∠MRQ = 78° (Rhombus)
∠NPQ
= 78° - 41°
= 37°
Answer(s): (a) 9°; (b) 37°