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


Adjacent angles of a parallelogram are supplementary

In parallelogram RISK,


RKS + ISK = 180°


120° + ISK = 180°


ISK = 60°


And, 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 180o


x + 60° + 70° = 180°


x = 50°


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