PSLEIn the figure, TUVW is a parallelogram. TRW and RVS are straight lines. ∠SVW = 149°, ∠TWV = 48° and ∠TVR = 21°.
- Find ∠UVS.
- Find ∠UTV.
(a)
∠UVW
= 180° - 48°
= 132° (Interior angles)
∠UVS
= 360° - 149° - 132°
= 79° (Angles at a point)
(b)
∠WVR
= 180° - 149°
= 31°(Angles on a straight line)
∠UTV
= ∠TVW
= 31° + 21°
= 52° (Alternate angles)
Answer(s): (a) 79°; (b) 52°