3. If the sum of the interior angles of a regular polygon is 1620 degrees. How many sides does the polygon have?
Answer 11 sided polygon
How do I show my work
To show your work, you can use the formula for the sum of the interior angles of a regular polygon:
Sum of Interior Angles = (n - 2) * 180
where n is the number of sides of the polygon.
Rearranging the equation to solve for n, we get:
n = (Sum of Interior Angles / 180) + 2
Substituting the given value of 1620 for the sum of interior angles, we get:
n = (1620 / 180) + 2
n = 9 + 2
n = 11
Therefore, the polygon has 11 sides.