The sum of the exterior angles of an irregular polygon also equals 360 degrees. Answers 1 ilija 31 october 2011 21 50.

Sum Of Measures Of Exterior Angles Of Polygons Alternate Dynamic

The exterior angles of a polygon add up to 360.

Measure of an exterior angle. Once you know the measure of the interior angles since an exterior angle is the supplement of an interior angle subtract 150 degrees from 180 degrees the measure of a straight line to find the. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. An exterior angle must form a linear pair with an interior angle.

Note that here i m referring to the angles w x and y as shown in the first image of this lesson. Checking the values of exterior angles. When we add up the interior angle and exterior angle we get a straight line 180.

The measure of an exterior angle of a triangle is equal to sum of its remote interior angles. The measure of each interior angle of an equiangular n gon is. Interior and exterior angle formulas.

This means that the exterior angle must be adjacent to an interior angle right next to it they must share a side and the interior and exterior angles form a straight line 180 degrees. Formula for sum of exterior angles. The exterior angle is the angle between any side of a shape and a line extended from the next side.

So the answer is 15 degrees. To solve we use the fact that w x y. They are supplementary angles.

The angles of a regular polygon are equivalent and their sides are as well. The measure of an exterior angle of a triangle is less than the measure of either of its corresponding remote interior angles. If the measure of the exterior angle is 3x 10 degrees and the measure of the two remote interior angles are 25 degrees and x 15 degrees find x.

If you count one exterior angle at each vertex the sum of the measures of the exterior angles of a. How to calculate the sum of the exterior angles of a polygon regular polygons. The sum of the measures of the exterior angles of a polygon one at each vertex is 360.

A polygon is any flat shape with straight sides. To find the the exterior angle divide 360 degrees by the number of sides. If you extend one of the sides of the triangle it will form an exterior angle.