PSLE In the figure, RSU and WVU are straight lines and VS is parallel to UT. ∠VWR is a right angle, ∠WRS = 52°, ∠RST = 122° and ∠UVS = 67°.
- Find ∠RSV.
- Find ∠STU.
(a)
∠RUW
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠USV
= 180° - 67° - 38°
= 75° (Angles sum of triangle)
∠RSV
= 180° - 75°
= 122° (Angles on a straight line)
(b)
∠UST
= 360° - 122° - 75° - 122°
= 41° (Angles at a point)
∠STU
= 180° - 41° - 41°
= 98°
Answer(s): (a) 122°; (b) 98°