PSLEIn the figure, TUVW is a parallelogram. TRW and RVS are straight lines. ∠SVW = 150°, ∠TWV = 45° and ∠TVR = 23°.
- Find ∠UVS.
- Find ∠UTV.
(a)
∠UVW
= 180° - 45°
= 135° (Interior angles)
∠UVS
= 360° - 150° - 135°
= 75° (Angles at a point)
(b)
∠WVR
= 180° - 150°
= 30°(Angles on a straight line)
∠UTV
= ∠TVW
= 30° + 23°
= 53° (Alternate angles)
Answer(s): (a) 75°; (b) 53°