Question

The exterior angle of a regular polygon is
one-sixth of its interior angle. How many
sides does the polygon have?​

Answer 1

Answer:

If the interior angle is 3x, the exterior angle is x.

Hence 3x+x = 4x = 180 or x = 45.

The interior angle is 135 deg.

So the polygon has 360/45 = 8 sides or it is a regular octagon

Step-by-step explanation:

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