PSLE In the figure, QRT and VUT are straight lines and UR is parallel to TS. ∠UVQ is a right angle, ∠VQR = 51°, ∠QRS = 110° and ∠TUR = 62°.
- Find ∠QRU.
- Find ∠RST.
(a)
∠QTV
= 180° - 90° - 51°
= 39° (Angles sum of triangle)
∠TRU
= 180° - 62° - 39°
= 79° (Angles sum of triangle)
∠QRU
= 180° - 79°
= 110° (Angles on a straight line)
(b)
∠TRS
= 360° - 110° - 79° - 110°
= 61° (Angles at a point)
∠RST
= 180° - 61° - 61°
= 58°
Answer(s): (a) 110°; (b) 58°