The sum of interior angles of a polygon can be calculated by multiplying the number of triangles formed inside the polygon to 180 degrees. This formula is used to find the measure of one interior angle in a regular polygon with n sides. For example, if a polygon has six sides and a total of N vertices, the sum of interior angles of a hexagon is 120 degrees.
To find the measure of one interior angle in a regular hexagon, divide the sum of the interior angles by the number of sides, which is 6. In this case, the sum of the interior angles of a hexagon is 180°. To find the measure of one interior angle of a regular polygon with n sides, divide the sum of the interior angles by the number of sides.
In summary, the sum of interior angles of a polygon can be calculated using various methods, such as adding terms, equating the sum to 360 degrees, solving for x, and finding the measure of one interior angle. For example, if a polygon has six sides and a total of N vertices, the sum of interior angles of a hexagon is 120 degrees. To find the measure of one interior angle in a regular polygon with n sides, divide the sum of interior angles by the number of sides.
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