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 = 86° (Alternate angles)
∠TUS
= 86° - 55°
= 31°
(b)
∠TSU
= 180° - 92° - 31°
= 57° (Angles sum of triangle)
∠RSV = 57° (Vertically opposite angles)
∠ SRV
= 180° - 86° - 57°
= 37° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 37°