A regular polygon.
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A convex polygon with congruent sides and congruent angles is a regular polygon.Some regular pilgrims have specific names: Equilateral triangle and square
It is convex if you look at it from the inside but it is not any kind of polygon.
A polygon is convex if you can take any two points inside the polygon and connect them with a line segment that is completely contained by the polygon. A non-convex polygon is one which contains at least two points such that the line joining them does not lie entirely inside the polygon.
It is a pentagon with five equal angles - each interior angle = 108 degrees. The term "convex" is redundant since, if the pentagon is equiangular, it cannot have 5 re-entrant corners.
A polygon whose sides are unequal is called an irregular polygon. It may then be further described as being concave or convex.