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Use The Polygon Exterior Angle-Sum Theorem To Solve Problems

 In a polygon, the sum of the exterior angles is 540 degrees. How many sides does the polygon have?


In a regular polygon, the measure of each exterior angle is 15 degrees. What is the number of sides in the polygon?


If the sum of the exterior angles of a polygon is 720 degrees, how many sides does the polygon have?


A convex polygon has exterior angles in the ratio 2:3:4:5. How many sides does the polygon have?


The exterior angles of a polygon form an arithmetic sequence with the first term 30 degrees and a common difference of 10 degrees. How many sides does the polygon have?

The exterior angles of a pentagon form an arithmetic sequence with a common difference of 10 degrees. What is the measure of the smallest exterior angle?

The exterior angles of a convex polygon are in the ratio 1:2:3:4. What is the measure of the smallest exterior angle?


If the measure of each exterior angle in a regular polygon is 30 degrees, how many sides does the polygon have?


The exterior angle of a regular polygon is 40 degrees. What is the measure of each interior angle?


If the exterior angle of a polygon is 120 degrees, how many sides does the polygon have?