# How To Determine Exterior Angles Of A Polygon?

*Answer:*

The measure of each **exterior angle =360°/n**, where n = number of sides of a polygon. One important property about a regular polygon’s exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.

*Answer:*

The sum of the **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. If you know the **exterior** **angle** you can find the interior angle using the formula: interior **angle** + **exterior** **angle** = 180° 1

## Geometry: determining the exterior angles of a polygon

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Why Are The Exterior Angles Of A Polygon 360?Answer: The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. … Because the exterior angles are supplementary to the interior angles, they measure, 130, 110, and 120 degrees, respectively. Summed, the exterior angles equal 360 degreEs. Answer: Summed, the exterior angles equal 360 degreEs. […]...

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Are All Exterior Angles Of A Regular Polygon Equal?Answer: The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. Answer: Each exterior angle of a regular polygon is formed by extending one side of the […]...

How Can You Prove That The Sum Of Exterior Angles Of A Polygon Is 360 Degrees?Answer: The sum of the interior angles of a regular polygon with n sides is 180(n-2). So, each interior angle has measure 180(n-2) / n. Each exterior angle is the supplement to an interior angle. Sum of exterior angles = n(360 / n) = 360. Answer: The sum of the exterior angles of a polygon […]...