Question

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

Answer 1

Answer:

45 sides

Step-by-step 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:

$Each \ Exterior = \frac{360}{n}$

Where

n is the number of sides

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

$Each \ Exterior = \frac{360}{n}\\8=\frac{360}{n}\\8n=360\\n=\frac{360}{8}\\n=45$

So, the polygon would have 45 sides.