Formula For Total Interior Angles Of A Polygon
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Sum of interior angles p 2 180 3060 p 2 180 p 2 frac 3060 180 p 2 17.
Formula for total interior angles of a polygon. Total interior angles n 2 180 where n is the number of sides. For example the interior angles of a pentagon always add up to 540 no matter if it regular or irregular convex or concave or what size and shape it is. In order to find the measure of a single interior angle of a regular polygon a polygon with sides of equal length and angles of equal measure with n sides we calculate the sum interior angles or n 2 180 and then divide that sum by the number of sides or n.
Sum of interior angles of a polygon formula example problems. 720 1 by using the angles sum of the interior angles of the above polygon is. 120 90 110 130 160 x.
Find the number of sides in the polygon. Therefore the sum of the interior angles of the polygon is given by the formula. The sum of the interior angles of a regular polygon is 3060 0.
The interior angles of any polygon always add up to a constant value which depends only on the number of sides. Sum of interior angles of a polygon with p sides is given by. Formula to find the sum of interior angles of a n sided polygon is.
Sum of the interior angles of a polygon 180 n 2 degrees interior angles of a polygon formula the interior angles of a polygon always lie inside the polygon. 4 180. By using the formula sum of the interior angles of the above polygon is.
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