Question

Angles of Polygons The figure below is a pentagon whose interior angles have the same measure.What is the sum of the measures of these 5 angles?

Answer 1

Given the number of sides of a pentagon:

Number of sides = 5

Let's find the sum of the measures of the 5 equal angles.

To find the sum of the measures of interior angles of a polygon, apply the formula:

`S=(n-2)*180`

Where:

n is the number of sides = 5

Thus, we have:

`\begin{gathered} S=(5-2)*180 \\ \\ S=(3)*180 \\ \\ S=540^o \end{gathered}`

Therefore, the sum of the interior angles of the pentagon is 540 degrees.

ANSWER:

540°