PSLE LMNP and MPQR are rhombuses. NSP is a straight line.
- Find ∠PMS.
- Find ∠NPQ.
(a)
∠MPN
= (180° - 106°) ÷2
= 74° ÷ 2
= 37° (Isosceles triangle)
∠PMS
= 180° - 128° - 37°
= 15° (Angles sum of triangle)
(b)
∠MRQ
= 360° - 289°
= 71° (Angles at a point)
∠MPQ = ∠MRQ = 71° (Rhombus)
∠NPQ
= 71° - 37°
= 34°
Answer(s): (a) 15°; (b) 34°