Determine the measure of acknow ninterior angle of a polygon

Answer:To determine the measure of each interior angle of a regular polygon, you can use the following formula: Measure of each interior angle = (n - 2) * 180° / n Where: - n is the number of sides of the polygon. Here's how it works: 1. Find the sum of the interior angles: The sum of the interior angles of a polygon with n sides is (n - 2) * 180°.2. Divide by the number of sides: Since a regular polygon has equal interior angles, divide the sum of the interior angles by the number of sides (n) to get the measure of each individual angle. Example: Let's find the measure of each interior angle of a regular hexagon (6 sides): 1. Sum of interior angles: (6 - 2) * 180° = 720°2. Measure of each angle: 720° / 6 = 120° Therefore, each interior angle of a regular hexagon measures 120°.

Answered by timothyjamesgrute | 2024-09-06