204k views
2 votes
If a regular polygon has 11 sides how many degrees are there in any one of its angles

User Intepid
by
5.2k points

1 Answer

4 votes

To find the sum of all the interior angles use the formula:

Sum = 180 (n-2) where n is the number of sides.

The sum of the interior angles for an 11 sided polygon is:

180 (11-2) = 180 x 91620 degrees.

Now to find the a single angle, divide the total by 11 ( number of sides)

1620 / 11 = 147.27 degrees. ( Round the answer as needed).

User Kyle Getrost
by
5.3k points