Question

Consider the parallelogram given. Find the values of the unknowns x, y, and z.

Answer 1

In parallelogram ABCD,
${100}^{\circ }+x={180}^{\circ }$ [Adjacent angles in a parallelogram are supplementary]
$\Rightarrow x={180}^{\circ }-{100}^{\circ }={80}^{\circ }$
Also, $z=x={80}^{\circ }$ [Opposite angles in a parallelogram are equal]
Also $y={100}^{\circ }$ [Opposite angles in a parallelogram are equal]