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First determine the number of sides.
Sum of exterior angles of a square. To find the measure of a single exterior angle we simply divide the measure of sum of the exterior angles with the total number of sides. For example a square would have 4 sides and a pentagon would have 5 sides. What is the formula for finding exterior angles of a polygon.
Sum of exterior angles n x 180 n-2 x 180 n x 180 n x 180 2 x 180 180n 180n 360 360 Hence Sum of the exterior angles of any polygon is 360. For any closed structure formed by sides and vertex the sum of the exterior angles is always equal to the sum of linear pairs and sum of interior angles. The sum of exterior angles of a given polygon 360.
A Polygon is any flat shape with straight sides. To find the value of a given exterior angle of a regular polygon simply divide 360 by the number of sides or angles that the polygon has. Interior angles are 90 deg.
N - 2 180. Exterior Angles Examples Multiply each of those measurements times the number of sides of the regular polygon. The two exterior angles that can be formed at a vertex by extending alternately one side or the other are vertical angles and thus are equal.
The sum of the exterior angle of all polygon. Let us check a few solved examples to learn more about the sum of exterior angles formula. For example for a pentagon this would equal 5-2180 3.
Interior angles are 120. When we add up the Interior Angle and Exterior Angle we get a straight line 180. In the same way we can prove that the sum of all exterior angles of any polygon is 360.
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