PSLE In the figure, RSU and WVU are straight lines and VS is parallel to UT. ∠VWR is a right angle, ∠WRS = 50°, ∠RST = 119° and ∠UVS = 66°.
- Find ∠RSV.
- Find ∠STU.
(a)
∠RUW
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
∠USV
= 180° - 66° - 40°
= 74° (Angles sum of triangle)
∠RSV
= 180° - 74°
= 119° (Angles on a straight line)
(b)
∠UST
= 360° - 119° - 74° - 119°
= 48° (Angles at a point)
∠STU
= 180° - 48° - 48°
= 84°
Answer(s): (a) 119°; (b) 84°