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

RISK and CLUE are parallelograms.

To find :

We have to find the value of x.

Solution :

We know that,

Sum of the adjacent angles in a parallelogram is $180°$.

In a parallelogram, opposite angles are equal.

 Therefore,

In parallelogram RISK,

$∠K + ∠S = 180°$

$120° + ∠S = 180°$

$∠S = 180°-120°$

$∠S = 60°$

In parallelogram CLUE,

$∠L = ∠E = 70°$    (Opposite angles)

In triangle ESO,

$∠E + ∠S + x = 180°$

$70° + 60° + x = 180°$

$x = 180°-130°$

$x = 50°$

The value of x is $50°$.

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Updated on: 10-Oct-2022

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