How To Find Interior And Exterior Angles Of Polygons

If you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360.

How to find interior and exterior angles of polygons. Since you are extending a side of the polygon that exterior angle must necessarily be supplementary to the polygon s interior angle. The exterior angles form a linear pair with the interior angles. A pentagon has 5 sides and can be made from three triangles so you know what.

Interior angle of a polygon 180 exterior angle of a polygon. For a square the exterior angle is 90. How to find the sum of the exterior angles and interior angles of a polygon.

They are supplementary angles. Together the adjacent interior and exterior angles will add to 180. One interior angle is 720 div 6 120 circ.

Consider for instance the pentagon pictured below. Exterior angles of polygons the exterior angle is the angle between any side of a shape and a line extended from the next side. If we know the sum of all the interior angles of a regular polygon we can obtain the interior angle by dividing the sum by the number of sides.

Make sure each triangle here adds up to 180 and check that the pentagon s interior angles add up. The sum of the exterior angles of a regular polygon will always equal 360 degrees. An interior angle is an angle inside a shape.

The interior angles are inside the polygon formed by the sides. 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. For example an eight sided regular polygon an octagon has exterior angles that are 45 degrees each because 360 8 45.