Consider the following angles : I. 4° II. 5° III. 6° IV. 8° How many of the above can be the exterior angle of a regular polygon?

Explanation

The sum of the exterior angles of a regular polygon is always 360°. To be a valid exterior angle, 360^\circ must be perfectly divisible by the angle, yielding an integer number of sides. Since 360 is divisible by 4, 5, 6, and 8, all four can be exterior angles.

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