The answer is:
Sum of Angles in a Regular Polygon = (Number of Sides - 2) * 180
Size of each of those angles = Sum of Angles / Number of Angles
So for a Square it would be
Sum = (4 - 2) * 180 = 360
Size of each angle = 360 / 4 = 90
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A regular quadrilateral is a square and each angle is 90 degrees (i.e. a right angle).
Any value between 0 and 360 degrees (not including those two values). If the polygon were regular, and that is a BIG if, then each interior angle would be 108 degrees.
Each angle is 180/5 = 36 degrees
They would be 36 degrees each because 36 multiplied by 5 is 180 degrees. The sum in degrees for a straight line is 180 degrees. Answer:36 degrees each angle
The interior angle of a circle is equal to 180 degrees. Let me sketch a "proof" for this non-intuitive result. For the purpose of simplicity and without loss of generality, let assume that a n-side polygon is regular. Now, we can calculate the sum of the interior angles in the n-side polygon as: (n-2)*180o (1) where n represents the number of sides. N order to find an interior angle in the n-side polygon we simply divide the formula (1) by n in order to get an interior angle, so: [(n-2)*180]/n= =(180n-360)/n =(180n)/n-360/n =180-360/n (2) Now, it is easy to see that as the number of the side of the polygon increase, i.e. form a pentagon to a hexagon, the polygon becomes to look more and more like a circle. If we use equation (2) we can see that as n increases the first term stays the same 180, but the 360/n will become smaller and smaller. Now, let me imagine a is very big number "infinitely" big number then the last term will disappear and one can rewrite (2) as 180-360/n= (n becomes "infinitely big")=180. That is the line of reasoning why the answer is 180.