Question

The above figure is a parallelogram. Find the angle measures $x,y$ and $z$. State the properties you use to find them.

Answer 1

$y={40}^{\circ }$ (Alternate angles)
$70=z+40$ (Corresponding angles)
$z={30}^{\circ }$
$x+(z+40)={180}^{\circ }$ (Adjacent angles)
$x+70=180$
$x={110}^{\circ }$