Question

What is the sum of the degree of the measures of the interior regular polygon that has 16 sides?

Answer 1

`2520^circ`

Explanation:

Our aim is to find the sum of the interior angles of a regular `16` sided polygon. For that we use the formula

`color(blue)("Sum of the interior angles "=(n-2)*180^circ`

Where,

`color(brown)(n="number of sides"=16`

Let's start to solve

`rarr(16-2)*180^circ`

`rarr14*180^circ`

`color(green)(rArr2520^circ`

The polygon looks like this

Side note: It is called a Hexadecagon