Question 799486

The measure of an interior angle of a regular polygon is {{{130}}}. Find the number of sides.

It impossible for a interior angle of a regular polygon to equal {{{130}}} degrees.

Why? 

In that case, the exterior angle of this 'polygon' would be {{{180-130=50}}}. The sum of the exterior angles of any polygon is {{{360}}} degrees, so the number of sides would be supposedly equal to {{{360/50}}} or {{{7.2}}}. A polygon cannot have {{{7.2}}} sides, so the angle can't measure {{{130}}} degrees.