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 = 82° (Alternate angles)
∠NPM
= 82° - 50°
= 32°
(b)
∠NMP
= 180° - 89° - 32°
= 59° (Angles sum of triangle)
∠LMQ = 59° (Vertically opposite angles)
∠ MLQ
= 180° - 82° - 59°
= 39° (Angles sum of triangle)
Answer(s): (a) 32°; (b) 39°