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1 vote
Didn't understand concept in this problem

Didn't understand concept in this problem-example-1
User Blinry
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2 Answers

4 votes
To find the sum of the interior angles of a polygon, use the formula (n-2) x 180. Plug in the numbers to get your sum. 11-2=9 x 180 =1620, so it's not A. 13-2=11 x 180= 1980, so it's not B. 15-2=13 x 180 = 2340. Your answer is  C.15.
User Favor
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5 votes
(n-2)180=sum of the interior angles.

Where n=number of angles of a regular polygon.

(n-2)180=2340

divide both sides by 180 and get

n-2=13

add 2 to both sides and get

n=15 Therefore, this polygon has 15 sides.
User Ravinder Bhandari
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6.0k points