The figure is not drawn to scale. VW//YX and XW//ZV. Triangles VZW and WXY are isosceles triangles. Find
- ∠w
- ∠x.
(a)
∠WXY = ∠WVZ = 70° (XW//ZV, WV//XY)
∠VWZ
= (180° - 70°) ÷ 2
= 110° ÷ 2
= 55° (Isosceles triangle)
∠XWY
= 180° - 70° - 70°
= 40° (Isosceles triangle)
∠w
= 180° - 70° - 55° - 40°
= 15° (Interior angles, WV//XY)
(b)
∠x
= 180° - 30° - 15°
= 135° (Angles sum of triangle)
Answer(s): (a) 15°; (b) 135°
