how to find the exterior angle of a 10 sided polygon

how to find the exterior angle of a 10 sided polygon The formula for calculating the size of an exterior angle in a regular polygon is 360 div number of sides If you know the exterior angle you can find the interior angle

The Exterior Angle is the angle between any side of a shape and a line extended from the next side Another example When we add up the Interior Angle and Exterior Angle we get a straight line 180 They are Supplementary Angles Polygons A Polygon is any flat shape with straight sides The Exterior Angles of a Polygon add up to 360 Measure of a Single Exterior Angle Formula to find 1 angle of a regular convex polygon of n sides 1 2 3 360 1 2 3 360 1 2 3 4 360 1 2 3 4 360 1 2 3 4 5 360 1 2 3 4 5 360

how to find the exterior angle of a 10 sided polygon

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how to find the exterior angle of a 10 sided polygon
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To calculate the exterior angle divide the total degree measurement 360 by the number of sides of the polygon The sum of the interior angles of a polygon can be calculated using the formula N 2 180 degrees The single interior angle of a polygon can be calculated using the formula sum of interior angles N 2 Exterior angles in a polygon are found by using the formula 360 Number of sides of the polygon If there are 9 sides in the polygon then each exterior angle in the polygon is equal to 360 9 which is 40 The same formula is applicable to a regular polygon and an irregular polygon

Realize that at each vertex of a polygon there are two exterior angles one formed by extending one of the two sides at that vertex and one formed by extending the other side at that vertex Since both of the exterior angles at a given vertex are supplementary to the same interior angle the two exterior angles always have equal Exterior angles are angles between a polygon and the extended line from the vertex of the polygon Sum of exterior angles of a polygon 360 Interior and exterior angles form a straight line they add to 180 Check out our lessons on interior angles of polygons and sum of the interior angles to find out more

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Finding the Measure of an Exterior Angle The measure of an exterior angle of a polygon can be found by dividing the sum of the interior angles by the number of sides For example for a triangle the sum of the interior angles is 180 so the measure of an exterior angle is 180 3 60 Learn how to calculate exterior outside angles in polygons This video includes examples of how to calculate an exterior angle in a regular polygon an interior angle and also how

There are two important theorems to know involving exterior angles the Exterior Angle Sum Theorem and the Exterior Angle Theorem The Exterior Angle Sum Theorem states that the exterior angles of any polygon will always add up to 360 360 Figure 4 18 3 4 18 3 m 1 m 2 m 3 360 m 1 m 2 m 3 360 0 00 2 14 Finding an Exterior Angle in a Polygon Mario s Math Tutoring 339K subscribers Join Subscribed 629 72K views 6 years ago Polygons Learn how to find an exterior angle in a

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how to find the exterior angle of a 10 sided polygon - Question Key points To understand polygons a good understanding of other angle rules including triangles and quadrilaterals can be helpful A polygon is a two dimensional 2D shape