Question

How would I do this problem?

Answer 1

Answer:

Step-by-step explanation:

The sum of the interior angles of an n gon is found by using the following formula.

(n-2)*180 = sum of the interior angles.

(n - 2) * 180 = 3960                     Divide by 180

(n - 2) 180/180 = 3960/180         Show the division

n - 2 = 22                                     Add 2 to both sides.

n -2+2=22+2                               Combine

n = 24

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To find the size of each angle, use

(n - 2)*180/n

(24 - 2)*180/24

22 * 180/24

3960/24 = 165

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another way

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You already know there are 24 sides. You are given the sum of the interior angles as 3960

All you really need to do is 3960/24 = 165