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 = 86° (Alternate angles)
∠STR
= 86° - 55°
= 31°
(b)
∠SRT
= 180° - 92° - 31°
= 57° (Angles sum of triangle)
∠QRU = 57° (Vertically opposite angles)
∠ RQU
= 180° - 86° - 57°
= 37° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 37°