Question

find the sum of the interior angle measures of a pentagon

Answer 1

Remember that the formula for the sum of the interior angles within a regular polygon is:

$180(n-2)$, where $n$ is the number of sides that the polygon has

Thus, the sum of the interior angles of a pentagon is $180(5 - 2) = 180(3) = 540^{\circ}$.

The answer is 540 degrees.

Answer 2

The sum of the interior angle measures of a pentagon is: 540°

Sum of Interior Angles of a Polygon

If n is the number of sides of a polygon, the sum of all its interior angles can be calculated using the formula, (n - 2)180.

Thus, a pentagon is a 5-sided polygon.

n = 5

• Therefore:

Sum of interior angle measures of the pentagon = (5 - 2)180 = 540°

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