Question

Find the angle measure x in the given figure.

Answer 1

For a regular n-sided polygon:
Sum of interior angles in a polygon= $(n-2)\times 180$ degrees.
In the given figure: $n=5$
$\Rightarrow (n-2)\times 180=(5-2)\times 180=3\times 180$ degrees.
So, each interior angle $x=\frac{3\times 180}{5}=3\times 36$ degrees.
$\therefore x={108}^{\circ }$