In the given figure, both RISK and CLUE are parallelograms. Find the value of $x$.
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Given: Parallelograms RISK and CLUE.

To find: Here we have to find the value of $x$.

Solution:

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°.

$x\ +\ 60°\ +\ 70°\ =\ 180°$

$x\ +\ 130°\ =\ 180°$

$x\ =\ 180°\ -\ 130°$

$\mathbf{x\ =\ 50°}$

So, value of angle $x$ is 50°.

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Updated on: 10-Oct-2022

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