Interior Angles

Interior angles are the angles inside a shape. In the context of geometry, interior angles are the angles formed between two sides of a polygon. The sum of the interior angles of a polygon depends on the number of sides the polygon has.

Formula for Finding the Sum of Interior Angles

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

Sum of interior angles = (n - 2) * 180°

where n is the number of sides of the polygon.

Individual Interior Angle

To find the measure of each individual interior angle of a regular polygon, you can use the formula:

Measure of each interior angle = Sum of interior angles / number of sides

Example

For example, in a regular hexagon (a polygon with 6 sides), the sum of the interior angles would be (6 - 2) * 180° = 4 * 180° = 720°. To find the measure of each interior angle, you would divide the sum of the interior angles by the number of sides: 720° / 6 = 120°.

Study Guide

• Understand the concept of interior angles and how they relate to polygons.
• Learn the formula for finding the sum of the interior angles of a polygon: (n - 2) * 180°.
• Practice finding the measure of each individual interior angle using the formula: Sum of interior angles / number of sides.
• Work on identifying the interior angles of different polygons and calculating their measures.