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° - 54°
= 31°
(b)
∠QPR
= 180° - 90° - 31°
= 59° (Angles sum of triangle)
∠NPS = 59° (Vertically opposite angles)
∠ PNS
= 180° - 85° - 59°
= 36° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 36°