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 = 83° (Alternate angles)
∠STR
= 83° - 52°
= 31°
(b)
∠SRT
= 180° - 93° - 31°
= 56° (Angles sum of triangle)
∠QRU = 56° (Vertically opposite angles)
∠ RQU
= 180° - 83° - 56°
= 41° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 41°