PSLEIn the figure, TUVW is a parallelogram. TRW and RVS are straight lines. ∠SVW = 152°, ∠TWV = 43° and ∠TVR = 23°.
- Find ∠UVS.
- Find ∠UTV.
(a)
∠UVW
= 180° - 43°
= 137° (Interior angles)
∠UVS
= 360° - 152° - 137°
= 71° (Angles at a point)
(b)
∠WVR
= 180° - 152°
= 28°(Angles on a straight line)
∠UTV
= ∠TVW
= 28° + 23°
= 51° (Alternate angles)
Answer(s): (a) 71°; (b) 51°