Question

The sum of the measures of the exterior angles of an n-gon, one
at each vertex, is ____.

Answer 1

always 360 degrees. it is a theorem.

Answer 2

@smored not for an n-gon. It is 180(n-2)

Answer 3

but it is EXTERIOR angles, not interior. Sum of exterior angles is always 360.

Answer 4

180(n-2) is used for the sum of all interior angles.

Answer 5

oh. my bad. But 360 seems really low. Cuz on a square, you have 4 angles with 270 degrees for exterior angles, right? 4x270=1080.

Answer 6

the exterior angle of an interior angle is its supplement.

Answer 7

so 180-(interior angle)=(exterior angle)

Answer 8

oh. my bad.

Answer 9

nah, it's fine. i though it was the rest of the angle too before.