PSLE In the figure, RSU and WVU are straight lines and VS is parallel to UT. ∠VWR is a right angle, ∠WRS = 53°, ∠RST = 117° and ∠UVS = 64°.
- Find ∠RSV.
- Find ∠STU.
(a)
∠RUW
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠USV
= 180° - 64° - 37°
= 79° (Angles sum of triangle)
∠RSV
= 180° - 79°
= 117° (Angles on a straight line)
(b)
∠UST
= 360° - 117° - 79° - 117°
= 47° (Angles at a point)
∠STU
= 180° - 47° - 47°
= 86°
Answer(s): (a) 117°; (b) 86°