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 = 81° (Alternate angles)
∠NPM
= 81° - 52°
= 29°
(b)
∠NMP
= 180° - 89° - 29°
= 62° (Angles sum of triangle)
∠LMQ = 62° (Vertically opposite angles)
∠ MLQ
= 180° - 81° - 62°
= 37° (Angles sum of triangle)
Answer(s): (a) 29°; (b) 37°