How To Find Interior Angles Of A Regular Polygon
How to calculate the sum of interior angles.
How to find interior angles of a regular polygon. At each vertex of a polygon there is both an interior and exterior angle corresponding to the angles on the inside and. You may need to find exterior angles as well as interior angles when working with polygons. An interior angle of a polygon is an angle inside the polygon at one of its vertices. Interior angles of regular polygons remember that the sum of the interior angles of a polygon is given by the formula sum of interior angles 180n 2 where n the number of sides in the polygon.
Learn how to find the interior and exterior angles of a polygon in this free math video tutorial by marios math tutoring. So for example the interior angles of a pentagon always add up to 5400 so in a regular pentagon 5 sides each one is one fifth of that or 1080. The sum of the interior angles of any regular polygon of n sides is equal to 180n 2 degrees. A polygon is called a regular polygon when all of its sides are of the same.
A polygon is any closed figure with sides made from straight lines. If the polygon is regular sides and angles are all equal divide the sum produced in step 1 by the number of sides. For a regular polygon the total described above is spread evenly among all the interior angles since they all have the same values. Everything you need to know about a polygon doesnt necessarily fall within its sides.
This is the degree of each angle in the polygon. Once you have the sum divide by the number of sides to find an individual angle. Angle q is an interior angle.
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