Question

If a polygon has 4 sides. Find the sum of the measure of its interior angles of the polygon.

Answer 1

Answer:

360 degrees

Explanation:

The sum of the measure of the interior angles of a polygon is found using the formula:

$\begin{gathered} \text{Sum}=180\degree(n-2)\text{ } \\ \text{Where n=number of sides of the polygon} \end{gathered}$

Given that the polygon has 4 sides: n=4

Substitute n=4 into the formula:

$\text{Sum}=180(4-2)=180\times2=360\degree$

The sum of the measure of the interior angles of a polygon with 4 sides is 360 degrees.

Note: Examples of such polygons are squares, rectangles, kites and rhombus.