SOLUTION: why a regular convex polygon cannot have an exterior angle of 25 degrees? why a regular convex polygon cannot have an interior angle of 130 degrees?

Question 1028559: why a regular convex polygon cannot have an exterior angle of 25 degrees?
why a regular convex polygon cannot have an interior angle of 130 degrees?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
why a regular convex polygon cannot have an exterior angle of 25 degrees?
The exterior angles are 360/n, n = # of sides.
360/25 is not an integer. A polygon can't have 360/25 = 14.4 sides.
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why a regular convex polygon cannot have an interior angle of 130 degrees?
Ext angles = 180 - 130 = 50 degs
Same as above.
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