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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?

Angles of Polygons The figure below is a pentagon whose interior angles have the same-example-1
User OhioDude
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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°

User Rafael Teles
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