In the figure, VWXY is a parallelogram. XA, AB and VW are straight lines. VYZ is an isosceles triangle.
- Find ∠v.
- Find ∠w.
(a)
∠XAV = ∠WVB = 59° (Corresponding angles, VW//AX)
∠AZV
= 180° - ∠XAV - ∠AVZ
= 180° - 59° - 20°
= 101° (Angles sum of triangle)
∠YZV
= 180° - 101°
= 79° (Angles on a straight line)
∠ZYV = ∠YZV = 79° (Isosceles triangle)
∠v
= ∠ZYV
= 79° (Corresponding angles, WX//VY)
(b)
∠w
= 180° - 79° - 79°
= 22° (Isosceles triangle VYZ)
Answer(s): (a) 79°; (b) 22°