In the figure, VWXY is a parallelogram. XA, AB and VW are straight lines. VYZ is an isosceles triangle.
- Find ∠d.
- Find ∠e.
(a)
∠XAV = ∠WVB = 65° (Corresponding angles, VW//AX)
∠AZV
= 180° - ∠XAV - ∠AVZ
= 180° - 65° - 17°
= 98° (Angles sum of triangle)
∠YZV
= 180° - 98°
= 82° (Angles on a straight line)
∠ZYV = ∠YZV = 82° (Isosceles triangle)
∠d
= ∠ZYV
= 82° (Corresponding angles, WX//VY)
(b)
∠e
= 180° - 82° - 82°
= 16° (Isosceles triangle VYZ)
Answer(s): (a) 82°; (b) 16°