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 = 82° (Alternate angles)
∠STR
= 82° - 55°
= 27°
(b)
∠SRT
= 180° - 90° - 27°
= 63° (Angles sum of triangle)
∠QRU = 63° (Vertically opposite angles)
∠ RQU
= 180° - 82° - 63°
= 35° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 35°