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 = 83° (Alternate angles)
∠NPM
= 83° - 50°
= 33°
(b)
∠NMP
= 180° - 91° - 33°
= 56° (Angles sum of triangle)
∠LMQ = 56° (Vertically opposite angles)
∠ MLQ
= 180° - 83° - 56°
= 41° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 41°