PSLE In the figure, GHJK is a rectangle. The points M, N, and P lie on the rectangle GHJK. KLM and PLN are straight lines.
- Find ∠MNL.
- Find ∠LKP.
(a)
∠HNP = ∠KPN = 85° (Alternate angles)
∠MNL
= 85° - 47°
= 38°
(b)
∠MLN
= 180° - 89° - 38°
= 53° (Angles sum of triangle)
∠KLP = 53° (Vertically opposite angles)
∠ LKP
= 180° - 85° - 53°
= 42° (Angles sum of triangle)
Answer(s): (a) 38°; (b) 42°