In the figure, VWXY is a parallelogram. XA, AB and VW are straight lines. VYZ is an isosceles triangle.
- Find ∠f.
- Find ∠g.
(a)
∠XAV = ∠WVB = 61° (Corresponding angles, VW//AX)
∠AZV
= 180° - ∠XAV - ∠AVZ
= 180° - 61° - 19°
= 100° (Angles sum of triangle)
∠YZV
= 180° - 100°
= 80° (Angles on a straight line)
∠ZYV = ∠YZV = 80° (Isosceles triangle)
∠f
= ∠ZYV
= 80° (Corresponding angles, WX//VY)
(b)
∠g
= 180° - 80° - 80°
= 20° (Isosceles triangle VYZ)
Answer(s): (a) 80°; (b) 20°