Question

how many sides does a polygon have if the average measure of interior angles is 6 times the average measure of exterior angles?

Answer 1

:P its one of the problems for mathcounts

Answer 2

hint nx = 360 where n = number of sides and x is the average vaue of exterior angles

Answer 3

hmm

Answer 4

i still don't get it.

Answer 5

do you know any other formula related to polygons?

Answer 6

no sorry.

Answer 7

is there any formula to find x in the equation?

Answer 8

total interior angles = 180(n - 2)

Answer 9

- and we are given that the total interior angles is 6nx

Answer 10

got it! 180n=2520 and n=14. is that correct?

Answer 11

how did you get that?

Answer 12

yes - its correct