The roof of a circus tent is supported by 15 poles that are equally spaced. This makes the base of the roof a regular polygon as shown. How many degrees does each corner measure?

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624 degrees
468 degrees
312 degrees
156 degrees

Question

The roof of a circus tent is supported by 15 poles that are equally spaced. This makes the base of the roof a regular polygon as shown. How many degrees does each corner measure?

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	624 degrees
	468 degrees
	312 degrees
	156 degrees

mathstudent55 · Answer

Since there are 15 poles at the vertices of the polygon, the polygon has 15 vertices and 15 sides and 15 interior angles.

mathstudent55 · Answer

Use the formula for the sum of the measures of the interior angles of a polygon again, and then divide the sum by 15.

anonymous · Answer

so 2340/15=156 and that's the answer, right?

mathstudent55 · Answer

Correct.