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Answer :
Here we have RISK and CLUE as two parallelograms.
\(∠1 = ∠L = 70^{\circ}\quad\) [Opposite angles of a parallelogram]
\(∠K + ∠2 = 180^{\circ}\)
Sum of adjacent angles is \(180^{\circ}\)
\(120^{\circ} + ∠2 = 180^{\circ}\)
\(∠2 = 180^{\circ} – 120^{\circ} = 60^{\circ}\)
In ∆OES we have,
\(∠x + ∠1 + ∠2 = 180^{\circ}\quad\) [Angle sum property]
\(\Rightarrow ∠x + 70^{\circ} + 60^{\circ} = 180^{\circ}\)
\(\Rightarrow ∠x + 130^{\circ} = 180^{\circ}\)
\(\Rightarrow ∠x = 180^{\circ} – 130^{\circ} = 50^{\circ}\)
Hence \(∠x = 50^{\circ}\)