PSLE In the figure, NPQR is a rectangle. The points T, U, and V lie on the rectangle NPQR. RST and VSU are straight lines.
- Find ∠TUS.
- Find ∠SRV.
(a)
∠PUV = ∠RVU = 82° (Alternate angles)
∠TUS
= 82° - 47°
= 35°
(b)
∠TSU
= 180° - 89° - 35°
= 56° (Angles sum of triangle)
∠RSV = 56° (Vertically opposite angles)
∠ SRV
= 180° - 82° - 56°
= 42° (Angles sum of triangle)
Answer(s): (a) 35°; (b) 42°