The figure is not drawn to scale. VW//YX and XW//ZV. Triangles VZW and WXY are isosceles triangles. Find
- ∠d
- ∠e.
(a)
∠WXY = ∠WVZ = 76° (XW//ZV, WV//XY)
∠VWZ
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠XWY
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠d
= 180° - 76° - 52° - 28°
= 24° (Interior angles, WV//XY)
(b)
∠e
= 180° - 24° - 24°
= 132° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 132°