Question

What do the exterior angles of a Pentagram add up to?

Answer 1

This is a pentagram:

Answer 2

the sum of the marked angles is 180. is that what is meant by exterior angles?

Answer 3

yes - sorry - i got confused with a pentagon

Answer 4

no, the sum of the exterior angles is 360. always.

Answer 5

Maybe I used the wrong expression; it should be the sum of the marked angles. My rephrased question is: What does the sum of all the marked angles add up to?

Answer 6

ok - the middle part is a regular pentagon and each angle = 108 degrees
so the base angles of the five isosceles triangle are each 180-108 = 72 degrees
that makes the angles at vertices = 180- 144 = 36
sum of marked angles = 5*36 = 180 degrees as envygeek said