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 = 84° (Alternate angles)
∠MNL
= 84° - 47°
= 37°
(b)
∠MLN
= 180° - 92° - 37°
= 51° (Angles sum of triangle)
∠KLP = 51° (Vertically opposite angles)
∠ LKP
= 180° - 84° - 51°
= 45° (Angles sum of triangle)
Answer(s): (a) 37°; (b) 45°