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A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n — 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n — 2) * 180 / n.
The number of degrees inside the polygon can be determined by multiplying the number of triangles in the shape by 180 degrees. And the number of triangles is 2 less than the number of sides.
To find the angle of any regular polygon you find the number of sides, which in this example is. You then subtract from the number of sides yielding. Take and multiply it by degrees to yield a total number of degrees in the regular nonage. Then to find one individual angle we divide by the total number of angles.
The sum of the angles in any polygon is equal to the number of sides in the polygon minus two, all multiplied by 180 degrees.
The sum of the measures of the interior angles of a polygon with n sides is (n 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
An interior angle is located within the boundary of a polygon. The sum of all the interior angles can be found using the formula S = (n — 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.
If you look back at the formula, you'll see that n 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle. We multiply 3 times 180 degrees to find the sum of all the interior angles of a pentagon, which is 540 degrees.
To find the sum of interior angles in a polygon divide the polygon into triangles. The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
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