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 = 87° (Alternate angles)
∠QRP
= 87° - 53°
= 34°
(b)
∠QPR
= 180° - 90° - 34°
= 56° (Angles sum of triangle)
∠NPS = 56° (Vertically opposite angles)
∠ PNS
= 180° - 87° - 56°
= 37° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 37°