PSLE In the figure, LMNP is a rectangle. The points R, S, and T lie on the rectangle LMNP. PQR and TQS are straight lines.
- Find ∠RSQ.
- Find ∠QPT.
(a)
∠MST = ∠PTS = 87° (Alternate angles)
∠RSQ
= 87° - 49°
= 38°
(b)
∠RQS
= 180° - 91° - 38°
= 51° (Angles sum of triangle)
∠PQT = 51° (Vertically opposite angles)
∠ QPT
= 180° - 87° - 51°
= 42° (Angles sum of triangle)
Answer(s): (a) 38°; (b) 42°