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 = 86° (Alternate angles)
∠QRP
= 86° - 50°
= 36°
(b)
∠QPR
= 180° - 94° - 36°
= 50° (Angles sum of triangle)
∠NPS = 50° (Vertically opposite angles)
∠ PNS
= 180° - 86° - 50°
= 44° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 44°