The figure is not drawn to scale. VWYZ is a parallelogram. ∠ZVO is 60° and ∠YWX is 27°. VWX is an isosceles triangle and VW = WX.
- Find ∠OXW.
- Find ∠VZY.
(a)
∠WOV = 60° (Alternate angles, VZ//WY)
∠WOX
= 180° - 60°
= 120° (Angles on a straight line)
∠OXW
= 180° - 120° - 27°
= 33° (Angles sum of triangle)
(b)
∠WVO = 33° (Isosceles triangle VWX)
∠VZY
= 180° - 60° - 33°
= 87° (Interior angles, VW//ZY)
Answer(s): (a) 33°; (b) 87°