PSLE In the figure, KLMN is a rectangle. The points Q, R, and S lie on the rectangle KLMN. NPQ and SPR are straight lines.
- Find ∠QRP.
- Find ∠PNS.
(a)
∠LRS = ∠NSR = 85° (Alternate angles)
∠QRP
= 85° - 57°
= 28°
(b)
∠QPR
= 180° - 92° - 28°
= 60° (Angles sum of triangle)
∠NPS = 60° (Vertically opposite angles)
∠ PNS
= 180° - 85° - 60°
= 35° (Angles sum of triangle)
Answer(s): (a) 28°; (b) 35°