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Question:

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

Solution:

In parallelogram RISK, ∠RKS + ∠ISK = 180°
120° + ∠ISK = 180°
∠ISK = 60°
Adjacent angles are supplementary
Also, opposite angles are equal
In parallelogram CLUE, ∠ULC = ∠CEU = 70°
Now, x + ∠ISK + ∠CEU = 180°
x + 60° + 70° = 180°
x = 50°