Question

One exterior angle of a regular polygon measures 40. What is the sum of the polygon's interior angle measures?

Answer 1

Use this :-
Sum of exterior angles add up to 360, for a regular n sided polygon :
n * angle = 360
n * 40 = 360
n = 9

so its a 9 sided polygon.

Answer 2

Interior angle = 180 - exterior angle
= 180 - 40
= 140

Answer 3

so its 9 x 140 ??

Answer 4

thats perfect ! you got it !!

Answer 5

so my answer would be 1260 ?

Answer 6

yep

Answer 7

thank you :D