PSLE In the figure, HJKL is a rectangle. The points N, P, and Q lie on the rectangle HJKL. LMN and QMP are straight lines.
- Find ∠NPM.
- Find ∠MLQ.
(a)
∠JPQ = ∠LQP = 86° (Alternate angles)
∠NPM
= 86° - 49°
= 37°
(b)
∠NMP
= 180° - 93° - 37°
= 50° (Angles sum of triangle)
∠LMQ = 50° (Vertically opposite angles)
∠ MLQ
= 180° - 86° - 50°
= 44° (Angles sum of triangle)
Answer(s): (a) 37°; (b) 44°