The figure is not drawn to scale. VXYZ is a trapezium and VX // ZY. Given that VZ = VW, ∠ZVW = 78° and ∠VXY = 103°.
- Find ∠XYZ
- Find ∠VWZ
- Find ∠WZY
(a)
∠XYZ
= 180° - 103°
= 77° (Interior angles, VX//ZY)
(b)
∠VWZ
= (180° - 78°) ÷ 2
= 102° ÷ 2
= 51° (Isosceles triangle)
(c)
∠WZY
= ∠VWZ
= 51° (Alternate angles, VX//ZY)
Answer(s): (a) 77°; (b) 51°; (c) 51°