The figure is not drawn to scale. VXYZ is a trapezium and VX // ZY. Given that VZ = VW, ∠ZVW = 72° and ∠VXY = 101°.
- Find ∠XYZ
- Find ∠VWZ
- Find ∠WZY
(a)
∠XYZ
= 180° - 101°
= 79° (Interior angles, VX//ZY)
(b)
∠VWZ
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
(c)
∠WZY
= ∠VWZ
= 54° (Alternate angles, VX//ZY)
Answer(s): (a) 79°; (b) 54°; (c) 54°