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:
[tex]Each \ Exterior = \frac{360}{n}[/tex]
Where
n is the number of sides
Now, we know "Each exterior angle" = 8°, so we substitute and find "n", the number of sides:
[tex]Each \ Exterior = \frac{360}{n}\\8=\frac{360}{n}\\8n=360\\n=\frac{360}{8}\\n=45[/tex]
So, the polygon would have 45 sides.
