SOLUTION: the sum of all interior angles of a regular polygon is 1080 degree. what is the measure of each of its exterior angle?

Question 755946: the sum of all interior angles of a regular polygon is 1080 degree. what is the measure of each of its exterior angle?
Answer by LearnWithMajor(33) (Show Source): You can put this solution on YOUR website!
Formula for sum of interior angles of a polygon is
n is the number of sides of the polygon
Formula for measure of single exterior angle of a regular polygon is where n is the number of sides of the polygon.
So to find the measure of the exterior angle we first need to find out how many sides the polygon has. To do that we use the interior sum formula and solve for n.

Now plugging n into our exterior angle formula we get

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