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23 June, 03:26

How many sides are there on a convex polygon if the sum of the interior angles is 3240?

18

19

20

21

+5
Answers (1)
  1. 23 June, 03:55
    0
    20

    Step-by-step explanation:

    Let the number of sides be n

    One exterior angle = 360/n

    Exterior angle + interior angle = 180

    Interior angle = 180 - Exterior angle

    = 180 - 360/n

    Sum of interior angle = n (180 - 360/n) = 3240

    n (180 - 360/n) = 3240

    180n - 360 = 3240

    180n = 3240 - 360

    = 3600

    n = 3600/180

    = 20
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