PSLE In the figure, QRT and VUT are straight lines and UR is parallel to TS. ∠UVQ is a right angle, ∠VQR = 53°, ∠QRS = 113° and ∠TUR = 62°.
- Find ∠QRU.
- Find ∠RST.
(a)
∠QTV
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠TRU
= 180° - 62° - 37°
= 81° (Angles sum of triangle)
∠QRU
= 180° - 81°
= 113° (Angles on a straight line)
(b)
∠TRS
= 360° - 113° - 81° - 113°
= 53° (Angles at a point)
∠RST
= 180° - 53° - 53°
= 74°
Answer(s): (a) 113°; (b) 74°