Question

Find the measure of angle $x$ in the following figure​.

Answer 1

The figure has four sides.
Hence, it is a quadrilateral.
Sum of angles of a quadrilateral $={360}^{\circ }$
$\Rightarrow {50}^{\circ }+{130}^{\circ }+{120}^{\circ }+x={360}^{\circ }$
$\Rightarrow {300}^{\circ }+x={360}^{\circ }$
$\Rightarrow x={360}^{\circ }-{300}^{\circ }$
$\Rightarrow x={60}^{\circ }$