In the figure, TUVW is a parallelogram. VY, YZ and TU are straight lines. TWX is an isosceles triangle.
- Find ∠f.
- Find ∠g.
(a)
∠VYT = ∠UTZ = 64° (Corresponding angles, TU//YV)
∠YXT
= 180° - ∠VYT - ∠YTX
= 180° - 64° - 15°
= 101° (Angles sum of triangle)
∠WXT
= 180° - 101°
= 79° (Angles on a straight line)
∠XWT = ∠WXT = 79° (Isosceles triangle)
∠f
= ∠XWT
= 79° (Corresponding angles, UV//TW)
(b)
∠g
= 180° - 79° - 79°
= 22° (Isosceles triangle TWX)
Answer(s): (a) 79°; (b) 22°