A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius, Each of the central angles has a measure of 40' How many sides does the polygon have?
8
9
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O 12

9 sides

Step-by-step explanation:

The formula for number of sides of a polygon with a given central angle

Number of sides = 360°/ central angle

In the above question, we were told that each of the central angles in the polygon ha a measure of 40°

Hence,

Number of sides = 360°/40°

9 sides.

Therefore, the number of sides that polygon in the above question has is 9 sides.

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