A polygon is equilateral, Homework Help?

Question

4. A polygon is equilateral.
Which of the following are always true?

I. The sum of the measures of its exterior angles, one at each vertex, is 360.
II. The sum of the measures of its interior angles is divisible by 180.
III. The polygon is equiangular.

A. I only
B. I and II only
C. II and III only
D. I, II, and III

Answer 1

I. is a theorem in geometry for convex polygons
II. the sum of the interior angles of a convex polygon = 180(n - 2) where n is the no. of sides. So, is the sum divisible by 180?

A Rhombus is equilateral, but not necessarily equiangular. So, what do you think about III?

Note: I assume the polygon is convex.

Answer 2

C.
Not I because a triangle can be an equilateral triangle and the sum of the inside angle is 180.

I

Answer 3

B

I take Geometry and number 3 is definitely not right, there are polygons which are equilateral, but not equiangular. I wish I could show you a picture but I can't. Also, number 1 is ALWAYS true for EVERY polygon, it's a theory or postulate in my Geometry book.

Answer 4

C
yeah and the person below me......ummmmm....... they are always equiangular. and 1 is impossible. you always get 600 or above.... idk wtf is going on in your book or if it's just the other way around