PSLE In the figure, QRT and VUT are straight lines and UR is parallel to TS. ∠UVQ is a right angle, ∠VQR = 55°, ∠QRS = 124° and ∠TUR = 62°.
- Find ∠QRU.
- Find ∠RST.
(a)
∠QTV
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
∠TRU
= 180° - 62° - 35°
= 83° (Angles sum of triangle)
∠QRU
= 180° - 83°
= 124° (Angles on a straight line)
(b)
∠TRS
= 360° - 124° - 83° - 124°
= 29° (Angles at a point)
∠RST
= 180° - 29° - 29°
= 122°
Answer(s): (a) 124°; (b) 122°