Question

Consider the following parallelogram. Find the values of the unknown x, y, z

Answer 1

Given :

$\mathrm{y}=$ $100°$ {opposite angles of a parallelogram}

$\mathrm{x}+$ $100°$ $=180°$ {Adjacent angles of a parallelogram}

$\Rightarrow$ $x=180$ – $100$
$\Rightarrow$ $x=80°$

Now, $\mathrm{x}=\mathrm{z}$$=80°$ {opposite angles of a parallelogram}

Therefore, $\mathrm{x}$$=80°$, $\mathrm{y}=$ $100°$ and $\mathrm{z}$ $=80°$.