2007 AMC 12A Problems/Problem 8
Problem
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?
Solution
I leave it to you to draw your own diagram.
- We look at 6 o'clock. It subtends 1/6 of the circle, or 60 degrees. Therefore, the angle from the vertex measures 60 degrees. The same hold true for all of the other vertices.
