In the figure, WXYZ is a parallelogram. YB, BC and WX are straight lines. WZA is an isosceles triangle.
- Find ∠d.
- Find ∠e.
(a)
∠YBW = ∠XWC = 61° (Corresponding angles, WX//BY)
∠BAW
= 180° - ∠YBW - ∠BWA
= 180° - 61° - 21°
= 98° (Angles sum of triangle)
∠ZAW
= 180° - 98°
= 82° (Angles on a straight line)
∠AZW = ∠ZAW = 82° (Isosceles triangle)
∠d
= ∠AZW
= 82° (Corresponding angles, XY//WZ)
(b)
∠e
= 180° - 82° - 82°
= 16° (Isosceles triangle WZA)
Answer(s): (a) 82°; (b) 16°