What is the sum of all interior angles of a 35-sided regular polygon?
a 6,120°
b 5,940°
c 180°
d 170°
The formula to find the sum of all interior angles of a regular polygon is given by:
Sum = (n - 2) * 180°
where n is the number of sides of the polygon.
For a 35-sided regular polygon, substituting the value of n into the formula:
Sum = (35 - 2) * 180°
Sum = 33 * 180°
Sum = 5940°
Therefore, the sum of all interior angles of a 35-sided regular polygon is 5940°.
The correct answer is b) 5,940°