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° - 52°
= 30°
(b)
∠SRT
= 180° - 91° - 30°
= 59° (Angles sum of triangle)
∠QRU = 59° (Vertically opposite angles)
∠ RQU
= 180° - 82° - 59°
= 39° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 39°