Each Interior Angle Of A Polygon

Interior angle of a polygon is that angle formed at the point of contact of any two adjacent sides of a polygon.

Each interior angle of a polygon. A polygon will have the number of interior angles equal to the number of sides it has. If a polygon has 5 sides it will have 5 interior angles. Its interior angles add up to 3 180 540 and when it is regular all angles the same then each angle is 540 5 108 exercise.

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. By knowing that the interior angles in a triangle add up to 180 you can calculate the interior angle sum of other. Therefore exterior angle 60.

Let the exterior angle be x. The interior angles of a polygon are the angles that are inside the shape. Sum of exterior angles.

For example if we have a regular pentagon 5 sided polygon with equal angles and equal sides then each exterior angle is the quotient of 360 degrees and the number of sides as indicated below. Make sure each triangle here adds up to 180 and check that the pentagon s interior angles add up to 540 the interior angles of a pentagon add up to 540. In a regular polygon all the interior angles are of the same measure.

An exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side. We know that the size of an exterior angle for a regular polygon 360 n 360 60 6. Then the interior angle will be double to its exterior angle 2x.

So each interior angle of a regular polygon is 2n 4 90 n. Let us discuss the sum of interior angles for some polygons. How many sides does the polygon have.