How To Calculate A Polygon’S Inner Angle Measure?

The interior angles of a polygon are equal to 180°, and they can be calculated using the formula (n-2)180^@)/n, where n is the number of sides of the regular polygon. In a triangle, the sum of the interior angles is 90° + 60° + 30° = 180°. In a polygon with n sides, the sum of the interior angles is 180° (n-2).

To find the value of the interior angle of a regular polygon, divide the sum of the interior angles value with the total number of sides. For an irregular polygon, the unknown angle can be found using the “Sum of Interior Angles Formula”.

A regular polygon is a flat shape with all equal sides and angles. To find the measure of one interior angle, divide the formula by the number of sides n: (n-2) * 180 / n. To find the sum of interior angles of a polygon, multiply the number of triangles formed inside the polygon to 180 degrees. For example, in a hexagon, there can be 6 sides, so x=6.

The sum of the interior angles in a polygon with n sides is 180° (n-1). To find the value of the interior angle of a regular polygon, use the formula for each angle = (n-2) × 180 / n.

In summary, the interior angles of a polygon are equal to 180°, and they can be calculated using the formula (n-2)180^@)/n. This knowledge can be used to solve problems and find the measures of single and irregular interior angles in polygons.