Sum Of Interior Angles Of A Pentagon Formula

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Sum of interior angles of a pentagon formula. Sum of the interior angles of a polygon 180 n 2 degrees interior angles of a polygon formula. The formula for the sum of that polygon s interior angles is refreshingly simple. Displaystyle sum is the sum of the interior angles of the polygon and.

So if you have three triangles making up your pentagon then your angles will always add up to 540 degrees 3 180 degrees. Displaystyle n equals the number of sides in the polygon. A pentagon has five sides thus the interior angles add up to 540 and so on.

Let n n equal the number of sides of whatever regular polygon you are studying. Here is the formula. The sum of the measures of the interior angles of a polygon with n sides is n 2 180.

Therefore the sum of the interior angles of the polygon is given by the formula. You might already know that the sum of the interior angles of a triangle measures 180 and that in the special case of an equilateral triangle each angle measures exactly 60. Hence sum of angles of pentagon 10 2 180 s 8 180 s 1440 for a regular decagon all the interior angles are equal.

Hence the measure of each interior angle of regular decagon sum of interior angles number of sides. Sum of interior angles p 2 180. S u m n 2 180.

The measure of each interior angle of an equiangular n gon is if you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360. Displaystyle sum n 2 times 180 where. It is easy to see that we can do this for any simple convex polygon.