PSLE In the figure, RSU and WVU are straight lines and VS is parallel to UT. ∠VWR is a right angle, ∠WRS = 48°, ∠RST = 123° and ∠UVS = 72°.
- Find ∠RSV.
- Find ∠STU.
(a)
∠RUW
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠USV
= 180° - 72° - 42°
= 66° (Angles sum of triangle)
∠RSV
= 180° - 66°
= 123° (Angles on a straight line)
(b)
∠UST
= 360° - 123° - 66° - 123°
= 48° (Angles at a point)
∠STU
= 180° - 48° - 48°
= 84°
Answer(s): (a) 123°; (b) 84°