PSLE In the figure, RSU and WVU are straight lines and VS is parallel to UT. ∠VWR is a right angle, ∠WRS = 55°, ∠RST = 111° and ∠UVS = 62°.
- Find ∠RSV.
- Find ∠STU.
(a)
∠RUW
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
∠USV
= 180° - 62° - 35°
= 83° (Angles sum of triangle)
∠RSV
= 180° - 83°
= 111° (Angles on a straight line)
(b)
∠UST
= 360° - 111° - 83° - 111°
= 55° (Angles at a point)
∠STU
= 180° - 55° - 55°
= 70°
Answer(s): (a) 111°; (b) 70°