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 = 85° (Alternate angles)
∠TUS
= 85° - 52°
= 33°
(b)
∠TSU
= 180° - 88° - 33°
= 59° (Angles sum of triangle)
∠RSV = 59° (Vertically opposite angles)
∠ SRV
= 180° - 85° - 59°
= 36° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 36°