Mathematics Question on Kinds of Quadrilaterals

Question

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

Accepted Answer

Adjacent angles of a parallelogram are supplementary.
In parallelogram $RISK, ∠ RKS + ∠ ISK = 180°$
$120° + ∠ ISK = 180°$
$∠ ISK = 60°$
Also, opposite angles of a parallelogram are equal.
In parallelogram $CLUE, \,∠ ULC = ∠ CEU = 70°$
The sum of the measures of all the interior angles of a triangle is $180\degree$ .
$x + 60° + 70° = 180°$
$x = 50°$