A star-polygon is drawn on a clock face by drawing a chord from each number to the fifth number counted clockwise from that number. That is, chords are drawn from 12 to 5 , from 5 to 10 , from 10 to 3 , and so on, ending back at 12 . What is the degree measure of the angle at each vertex in the star-polygon?
Answer Choices
A. 20
B. 24
C. 30
D. 36
E. 60