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 = 82° (Alternate angles)
∠RSQ
= 82° - 48°
= 34°
(b)
∠RQS
= 180° - 89° - 34°
= 57° (Angles sum of triangle)
∠PQT = 57° (Vertically opposite angles)
∠ QPT
= 180° - 82° - 57°
= 41° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 41°