Yes
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3 sides and vertices, 5 sides and vertices, 7 sides and vertices, and so on. There is no other pattern, necessarily.
None. Since the number of sides is odd, there can be no parallel sides.
It is a pentagon which has 5 sides
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Once you have that total, divide by the number of sides to find the measure of a single interior angle. Whether the number of sides is odd or even doesn't matter.
Circles, ellipses, and lots of other similar shapes. Any regular polygon with an odd number of sides.