Question

In the following figure RISK and CLUE are two parallelogram. Find the value of x.

Answer 1

Consider Parallelogram $CLUE$

Opposite angles are equal

So, $\angle L=\angle E\angle E={70}^{\circ }$

Consider Parallelogram $RISK$

Adjacent angles are Supplementary

So, $\angle K+\angle S=180\angle S=180-120={60}^{\circ }$

In $\Delta SEO$

By angle sum property ,

$\angle S+\angle O+\angle E=18070+60+x=180x=180-130x=50$