Let points A, B, C, D and E occur in that order on a circle.

Form a pentagram by drawing the chords AC, CE, EB, BD, and DA.

There are five "tip triangles" in this figure (for instance, one

tip triangle has as vertices B and the two points of intersection

of the chord AC with the chords BD and EB). Prove that the

pentagram is regular (i.e., the points A, B, C, D and E are the

vertices of a regular pentagon) if and only if the five tip

triangles have the same area.

in a pentagon what do the angles add up to?..

also if you know of a way to solve this could you share the solution that you have or have come up with please?..thanks for all your help guys