Question

The sum of measures of the.interior angle of a polygon is 1080 degrees . Determine the number of sife the polygon has.

Answer 1

Sum of interiors angles = 1080

But Formular for interior angle is given by

Sum of interiors angles = (n - 2)180

1080 = (n - 2)180

$\begin{gathered} \frac{1080}{180}\text{ = n - 2} \\ 6\text{ = n - 2} \\ 6+\text{ 2 = n} \\ n\text{ = 8} \end{gathered}$

The number of sides of the polygon is = 8