Question

The sun of the interior angle measures of a convex polygon is 900° how many sides does it have?

Answer 1

The sum of interiror angle is 900 degree.

The sum of interior angles of polygon is,

$(n-2)\times180$

Here, n is number of sides.

Determine the number of side for sum of interior angle is 900.

$\begin{gathered} 900=(n-2)\cdot180 \\ \frac{900}{180}=n-2 \\ 5=n-2 \\ n=5+2 \\ =7 \end{gathered}$

So polygon has 7 sides.

Answer: 7 sides