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Question
In the above figure both RISK and CLUE are parallelograms. Find the value of x.
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Solution
Since RISK and CLUE are parallelograms
∴∠SKR =∠RIS = 120° [·:Opposite angles are equal]
Also, ∠ULC = ∠UEC = 70° [Opposite angles are equal]
∠RIS +∠ISK = 180° [Adjacent angles are supplementary]
∠ISK = 180° - 120° = 60°
in ΔOES, we have
70° + x + 60° = 180° [Angle sum property]
x + 130° = 180°
x = 180° - 130° = 50°.
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