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Question

An illustration of a pentagon with the vertices labeled upper A, upper B, upper C, upper D, and upper E clockwise from the bottom.

Find the sum of the interior angles of the pentagon.

(1 point)
The sum of the interior angles of the polygon is
°
.

Answer 1

The formula to find the sum of the interior angles of a polygon is given by:

\[ \text{Sum of interior angles} = (n - 2) \times 180° \]

where \( n \) is the number of sides in the polygon.

For a pentagon, \( n = 5 \).

So the calculation is:

\[ \text{Sum of interior angles} = (5 - 2) \times 180° = 3 \times 180° = 540° \]

Therefore, the sum of the interior angles of the pentagon is \( 540° \).