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 = 81° (Alternate angles)
∠QRP
= 81° - 54°
= 27°
(b)
∠QPR
= 180° - 89° - 27°
= 64° (Angles sum of triangle)
∠NPS = 64° (Vertically opposite angles)
∠ PNS
= 180° - 81° - 64°
= 35° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 35°