Method For Calculating Side Length From Interior Angle?

The sum of interior angles of a regular polygon is determined by the formula: 180(n-2)/n, where n is the number of sides. The formula can be used to find the number of sides in a polygon when given one interior angle. Each angle (of a regular polygon) = (n – 2) × 180 °/n.

To find the measure of a single interior angle of a regular polygon with n sides, we calculate the sum interior anglesor $$ (red n-2) cdot 180. Subtracting the inside angle from 180 to get the outside angle, we divide 360 by the angle difference and 180 degrees. This gives us 24.

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 156 triangles. In a regular polygon with n sides, the number of degrees in each angle is 180(n-2)/n. In this case, we can find each interior angle by using the formula ((n-2)180°)/n, where n is the number of sides.

In summary, the sum of interior angles of a regular polygon can be calculated using the formula: 180(n-2)/n, where n is the number of sides. To find the number of sides in a polygon, we can use the formula to find the sum of interior angles and the number of sides.