Question

The exterior angle of a regular polygon is an 1/8 of the interioris angle How many sides does the regular polygon have ?​

Answer 1

• 18 sides

Explanation:

We know the interior and exterior angles are supplementary.

Let the exterior angle be x, then the interior angle is 8x.

We have:

• x + 8x = 180
• 9x = 180
• x = 20

We now have the exterior angle measure and we know the sum of all of them is 360°.

Find the number of sides:

• n = 360/20 = 18