Angles on the outside of the shape
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The 5 exterior angles of a pentagon add up to 360 degrees
Any value you like, between 0 and 360 degrees. And the word is exterior, not extirior. The sum of the exterior angles of a polygon is 360 degrees, however many sides it has. If the polygon is regular (and only then) the value of each angle can be calculated. In the case of a 24-gon each would be 360/24 = 15 degrees.
360/8= 45°
Some shapes have angles and so they are important in defining the shapes. And angles are absolutely critical for angles. They are the very essence of their existence: if it were not for angles then there would be no angles.
Yes, congruent angles are angles that have the same measure.