PSLEIn the figure, TUVW is a parallelogram. TRW and RVS are straight lines. ∠SVW = 147°, ∠TWV = 42° and ∠TVR = 23°.
- Find ∠UVS.
- Find ∠UTV.
(a)
∠UVW
= 180° - 42°
= 138° (Interior angles)
∠UVS
= 360° - 147° - 138°
= 75° (Angles at a point)
(b)
∠WVR
= 180° - 147°
= 33°(Angles on a straight line)
∠UTV
= ∠TVW
= 33° + 23°
= 56° (Alternate angles)
Answer(s): (a) 75°; (b) 56°