PSLE In the figure, QRT and VUT are straight lines and UR is parallel to TS. ∠UVQ is a right angle, ∠VQR = 49°, ∠QRS = 110° and ∠TUR = 68°.
- Find ∠QRU.
- Find ∠RST.
(a)
∠QTV
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠TRU
= 180° - 68° - 41°
= 71° (Angles sum of triangle)
∠QRU
= 180° - 71°
= 110° (Angles on a straight line)
(b)
∠TRS
= 360° - 110° - 71° - 110°
= 69° (Angles at a point)
∠RST
= 180° - 69° - 69°
= 42°
Answer(s): (a) 110°; (b) 42°