One angle of a regular polygon is 168°. How many sides does it have?�

1.	One angle of a regular polygon is 168°. How many sides does it have?
Answer» ides We can use the fact that the sum of the EXTERIOR angles is always 360. If the INTERIOR angle is 168, then the exterior angle is 180 - 168, or 12. The 360 degrees is evenly DISTRIBUTED over all of the angles, so 360/12 = 30 sides.

One angle of a regular polygon is 168°. How many sides does it have?

Answer»

ides

We can use the fact that the sum of the EXTERIOR angles is always 360. If the INTERIOR angle is 168, then the exterior angle is 180 - 168, or 12. The 360 degrees is evenly DISTRIBUTED over all of the angles, so 360/12 = 30 sides.

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One angle of a regular polygon is 168°. How many sides does it have?​

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One angle of a regular polygon is 168°. How many sides does it have?