In the figure, WXYZ is a parallelogram. YB, BC and WX are straight lines. WZA is an isosceles triangle.
- Find ∠e.
- Find ∠f.
(a)
∠YBW = ∠XWC = 63° (Corresponding angles, WX//BY)
∠BAW
= 180° - ∠YBW - ∠BWA
= 180° - 63° - 16°
= 101° (Angles sum of triangle)
∠ZAW
= 180° - 101°
= 79° (Angles on a straight line)
∠AZW = ∠ZAW = 79° (Isosceles triangle)
∠e
= ∠AZW
= 79° (Corresponding angles, XY//WZ)
(b)
∠f
= 180° - 79° - 79°
= 22° (Isosceles triangle WZA)
Answer(s): (a) 79°; (b) 22°