That would be called a regular polygon, one with congruent(equal) side legnths and congruent angles.
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There is no specific name for a polygon in which all the angles are different or where the sides are all different.
If those are the only sides and angles it has, then it's a regular pentagon.
A rhombus
There is no special name for that. However, if the sides are also equal, it is called a regular polygon.
The name of a regular polygon with five equal sides and five equal angles is a pentagon. Each of the internal angles is equal to 108 degrees.