Sum of Interior Angles = (n −2) × 180 °. Each Angle (of a Regular Polygon) = (n −2) × 180 ° / n. Here's an example to make it clearer: Example: What about a Regular Decagon (10 sides) ? And for a …

So, our new formula for finding the measure of an angle in a regular polygon is consistent with the rules for angles of triangles that we have known from past lessons.

Polygon formulas are based on the different types of polygons such as triangles, hexagons, quadrilaterals, etc. Understand the polygon formula with its formulas, examples, and FAQs.

Aug 13, 2025 · Interior angles of a polygon are angles within a polygon made by two sides. The interior angles in a regular polygon are always equal. The sum of the interior angles of a polygon can be …

When working with angle formulas for polygons, be sure to read carefully to determine what you are being asked to find. Look for "hint" words such as sum, interior, exterior, each, and degrees.

Here you will learn about interior and exterior angles of polygons, including what interior and exterior angles of polygons are, and how to calculate angles in polygons using a variety of methods.

The following diagrams give the formulas for the sum of the interior angles of a polygon and the sum of exterior angles of a polygon. Scroll down the page if you need more examples and explanation.

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. 2) × 180 ∘ where n is the number of sides. All the interior angles in a regular...

Jan 16, 2026 · The sum of the interior angles of a polygon can be calculated using the formula S = (n-2) × 180°, where n represents the number of sides. This relationship highlights how the interior angles …

The interior angles of any polygon always add up to a constant value, which depends only on the number of sides. For example the interior angles of a pentagon always add up to 540° no matter if it …