Question

The sum of the angle measures of a polygon with n sides is 1800. find n

Answer 1

The summation of the angle measures of a polygon is given by:
180(n - 2).
Thus, we need to find: 1800 = 180(n - 2)
10 = n - 2
n = 12

Therefore, the shape is a dodecagon, and the number of sides it has is 12.