PSLE KLMN and LNPQ are rhombuses. MRN is a straight line.
- Find ∠NLR.
- Find ∠MNP.
(a)
∠LNM
= (180° - 108°) ÷2
= 72° ÷ 2
= 36° (Isosceles triangle)
∠NLR
= 180° - 121° - 36°
= 23° (Angles sum of triangle)
(b)
∠LQP
= 360° - 305°
= 55° (Angles at a point)
∠LNP = ∠LQP = 55° (Rhombus)
∠MNP
= 55° - 36°
= 19°
Answer(s): (a) 23°; (b) 19°