Question

What is the sum of the exterior angles of a convex polygon?

Answer 1

Answer:

A

Step-by-step explanation:

The sum of the exterior angles for each polygon is always 360°.

The sum of the interior angles for each polygon is always 180°(n-2).

If you have n-sided convex polygon, then

$\left(\text{Sum of all interior angles}\right)+ \left(\text{ Sum of all exterior angles}\right)=180^{\circ}\cdot n$

So,

$\left(\text{Sum of all interior angles}\right)+ 180^{\circ}\cdot (n-2)=180^{\circ}\cdot n\\ \\\left(\text{Sum of all interior angles}\right)=180^{\circ}\cdot n-180^{\circ}\cdot (n-2)=180^{\circ}\cdot (n-n+2)=360^{\circ}$