Formula For The Sum Of Exterior Angles Of A Polygon
Exterior angle of a polygon 360 number of sides.
Formula for the sum of exterior angles of a polygon. The sum of exterior angles of a polygon is 360. The formula for calculating the size of an exterior angle in a regular polygon is. 360 div number of sides.
360 6 60 the size of an exterior angle 180 60 120 x 120 Example 2. We know that the sum of exterior angles of a polygon is 360 degrees. TextExterior angle dfrac360circn where eqn eq is the number of.
Sum of angles of a square. So the measure of each exterior angle will be 18 0 o n 2 18 0 o n. C The sum of the interior angles in any polygon can be found by multiplying the number of triangles formed by the diagonals from one.
Now the sum of exterior angles 36 0 o n n 36 0 o. 18 0 o n n 2 18 0 o n. Round your answer to the nearest tenth if necessary.
Identify the type of regular polygon whose exterior angle measures 120 degrees. Therefore the sum of exterior angles 360 Proof. Therefore all its exterior angles measure the same as well that is 120.
To find the sum of the interior angles multiply the number of triangles by 180. N-2 5401803 n5 so each exterior angle 360572. Since the polygon is regular we can use the sum obtained in the previous example and divide by 11 since all the angles are equal.