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° - 56°
= 25°
(b)
∠NMP
= 180° - 94° - 25°
= 61° (Angles sum of triangle)
∠LMQ = 61° (Vertically opposite angles)
∠ MLQ
= 180° - 81° - 61°
= 38° (Angles sum of triangle)
Answer(s): (a) 25°; (b) 38°