Question

In the above figure both RISK and CLUE are parallelograms. Find the value of $x$.

Answer 1

In parallelogram RISK,

$\angle RKS+\angle ISK={180}^{\circ }$
${120}^{\circ }+\angle ISK={180}^{\circ }$
$\angle ISK={60}^{\circ }$

Adjacent angles are supplementary
Also, opposite angles are equal

In parallelogram CLUE, $\angle ULC=\angle CEU={70}^{\circ }$
Now,
$x+\angle ISK+\angle CEU={180}^o$
$x+{60}^{\circ }+{70}^{\circ }={180}^{\circ }$
$x={50}^{\circ }$