Question

How many sides would a regular polygon need to have in order for each exterior angle to measure 8 degrees

Answer 1

45 sides

Explanation:

No matter, how many sides a regular polygon has, the total sum of all the exterior angles is ALWAYS 360°. We can find "each exterior angle" by using the formula shown below:

`Each \ Exterior = (360)/(n)`

Where

n is the number of sides

Now, we know "Each exterior angle" = 8°, so we substitute and find "n", the number of sides:

`Each \ Exterior = (360)/(n)\\8=(360)/(n)\\8n=360\\n=(360)/(8)\\n=45`

So, the polygon would have 45 sides.