Question

Find the sum of the exterior angle of a polygon angles of a polygon with 57 sides.

Answer 1

the sum of the exterior angles is always 360 degrees

so in your question 1 exterior angle = 360/57

that is provided the polygon is regular

Answer 2

but how can i get the sum of the exterior angle?
so i would have to divide 360/57 ?

Answer 3

well start with the interior sum

\[Angle Sum = (n - 2) \times 180\]

so substitute n = 57

to find the angle sum .

then divide the angle sum by 57 to find the size of 1 angle...


then the 1 exterior angle will be supplementary.



so

exterior angle = 180 - interior


and there will be 57 of them

so exterior x 57 for their sum.

Answer 4

okay so 57-2x180 = 9900

Answer 5

yep so 1 interior angle = 9900/57

then 1 exterior = 180 = 9900/57

then answer x 57

and you'll get 360

leave your answer for 1 angle and the exterior angle as a mixed number....

don't use decimals and round

Answer 6

okay so it would be 360 ? c:

Answer 7

exactly

Answer 8

yay ! thank you c: