Question

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

Answer 1

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 \(180\degree\).
\(x + 60° + 70° = 180°\)
\(x = 50°\)