How many sides does a polygon have if the sum of its angles is $1,800 ^ { \circ }$ .
A) 17 sides
B) 16 sides
C) 10 sides
D) 13 sides
E) 12 sides

Question

Quizplus · Accepted Answer

The formula for finding the sum of the angles in a polygon is: 
Sum of angles = (n-2) x 180 degrees, where n is the number of sides in the polygon.

Therefore, we can set up an equation: 
(n-2) x 180 = 1,800 
Simplifying: 
n-2 = 10 
n = 12

So the polygon has 12 sides. Therefore, the answer is E - 12 sides.

How Many Sides Does a Polygon Have If the Sum 1,800∘1,800 ^ { \circ }1,800∘