if each angle in a regular polygon is 157.5 degrees, how many sides does the polygon have?
http://en.wikipedia.org/wiki/Hexadecagon
solve
180/n(n-2) = 157.5
(I got n=16)
ambot !!!!
To find the number of sides in a regular polygon, you can use the formula:
Number of sides = 360 degrees divided by each angle
In this case, you want to find the number of sides when each angle is 157.5 degrees.
Number of sides = 360 degrees / 157.5 degrees
To calculate this, divide 360 by 157.5.
Number of sides = 2.2857 (rounded to 4 decimal places)
Since a polygon cannot have a fraction of a side, we round the result to the nearest whole number.
Therefore, the polygon has 2 sides.