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There are 9 diagonals.
Please see the attached picture for all the vertices that are drawn. When you start drawing the diagonals, be cautious of the ones that you have already drawn.
A regular polygon is drawn in a circle so that each vertex is on the circle
Each of the central angles has a measure of 40
360 / 40 = 9
so the polygon has 9 sides
Answer is the second option
9
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