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° - 49°
= 34°
(b)
∠SRT
= 180° - 88° - 34°
= 58° (Angles sum of triangle)
∠QRU = 58° (Vertically opposite angles)
∠ RQU
= 180° - 83° - 58°
= 39° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 39°