PSLE In the figure, MNPQ is a rectangle. The points S, T, and U lie on the rectangle MNPQ. QRS and URT are straight lines.
- Find ∠STR.
- Find ∠RQU.
(a)
∠NTU = ∠QUT = 85° (Alternate angles)
∠STR
= 85° - 49°
= 36°
(b)
∠SRT
= 180° - 91° - 36°
= 53° (Angles sum of triangle)
∠QRU = 53° (Vertically opposite angles)
∠ RQU
= 180° - 85° - 53°
= 42° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 42°