PSLE In the figure, QRT and VUT are straight lines and UR is parallel to TS. ∠UVQ is a right angle, ∠VQR = 51°, ∠QRS = 113° and ∠TUR = 65°.
- Find ∠QRU.
- Find ∠RST.
(a)
∠QTV
= 180° - 90° - 51°
= 39° (Angles sum of triangle)
∠TRU
= 180° - 65° - 39°
= 76° (Angles sum of triangle)
∠QRU
= 180° - 76°
= 113° (Angles on a straight line)
(b)
∠TRS
= 360° - 113° - 76° - 113°
= 58° (Angles at a point)
∠RST
= 180° - 58° - 58°
= 64°
Answer(s): (a) 113°; (b) 64°