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° - 121° - 41°
= 18° (Angles sum of triangle)
(b)
∠MRQ
= 360° - 301°
= 59° (Angles at a point)
∠MPQ = ∠MRQ = 59° (Rhombus)
∠NPQ
= 59° - 41°
= 18°
Answer(s): (a) 18°; (b) 18°