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Angle at vertex of clock star polygon

High school · ●●○○○ 20 pts

A star polygon is drawn on a clock face by drawing a chord from each number to the fifth number 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. Find the degree measure of the angle at each vertex of the star polygon.

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