PSLE In the figure, RSU and WVU are straight lines and VS is parallel to UT. ∠VWR is a right angle, ∠WRS = 54°, ∠RST = 114° and ∠UVS = 66°.
- Find ∠RSV.
- Find ∠STU.
(a)
∠RUW
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠USV
= 180° - 66° - 36°
= 78° (Angles sum of triangle)
∠RSV
= 180° - 78°
= 114° (Angles on a straight line)
(b)
∠UST
= 360° - 114° - 78° - 114°
= 54° (Angles at a point)
∠STU
= 180° - 54° - 54°
= 72°
Answer(s): (a) 114°; (b) 72°