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)*180`

Here, n is number of sides.

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

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

So polygon has 7 sides.

Answer: 7 sides