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Two or more angles that have the same measure are called congruent angles.
That's called a "regular" polygon. By the way: If all sides are the same length, then all angles are automatically the same measure, and if all angles are the same measure, then all sides are automatically the same length. So it's not necessary to state both conditions, because if you have either one, then you automatically get the other one too.
A polygon with all sides the same length and all angles the same measure is called a regular polygon. Examples include triangles, squares, pentagons, and hexagons. When the number of sides approaches infinity, the shape of a circle is formed.
Angles that measure between 90 and 180 are called obtuse angles. Those below 90 are called acute angles, and those between 180 and 360 are called reflex angles.
A shape with five angles and five sides that do not all measure the same is an irregular pentagon. A regular pentagon has all five sides and angles the same size.