What is the sum of the interior angles of a pentagon

The sum of the interior angles of a polygon can be calculated with the formula:

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

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

For a pentagon (\( n = 5 \)):

\[
(5 - 2) \times 180^\circ = 3 \times 180^\circ = 540^\circ
\]

So, the sum of the interior angles of a pentagon is **540 degrees**.

Would you like more details on how this formula works or any specific applications?

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1. What is the sum of the interior angles of a hexagon?
2. How can you find the measure of each interior angle of a regular pentagon?
3. Why does the formula for the sum of interior angles work for any polygon?
4. How does the sum of exterior angles relate to interior angles in polygons?
5. What is the sum of the interior angles for an octagon?

**Tip:** To find each interior angle of a regular polygon, divide the sum of interior angles by the number of sides.

What is the sum of the interior angles of a pentagon?

Find out how to calculate the sum of interior angles of a pentagon with a simple formula: (n - 2) × 180°. This detailed explanation is perfect for students in Grades 6-8 and covers key concepts in geometry and polygon angle sums.

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