Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The sum of the angle measures of a polygon with s sides is
2 and 340( degrees). Find s.

Answer 1

The sum of the angle measures of a polygon with s sides can be calculated using the formula:

(s - 2) * 180 degrees

We can use this formula to solve for s:

2 = (s - 2) * 180

Dividing both sides by 180:

2 / 180 = (s - 2)

Solving for s:

s = 2 + 2 / 180 = 2 + 1 / 90 = 2 + 1 / 90 * 180 / 180 = 2 + 2 / 3

So the number of sides of the polygon is s = 2 + 2 / 3 = 4 2/3.

Since a polygon must have a whole number of sides, s cannot be a fraction, which means this answer is not a valid solution for the number of sides of a polygon. I don't think the problem as stated does not have a valid solution.