what is the measure of an interior angle of a regular polygon is 170°. How many sides make up the regular polygon

Question

anonymous · Answer

what is the meaning of the first part?

anonymous · Answer

can you rewrite it please ...

anonymous · Answer

The measure of an interior angle of a regular polygon is 170°. How many sides make up the regular polygon?

blockcolder · Answer

Each interior angle of a regular n-gon is of measure (180(n-2))/n. Let this equal to 170, then find n.

anonymous · Answer

Can you dumb it down a little for me its like 3 o'clock in the morning over here so im confused lol

blockcolder · Answer

$$\frac{180(n-2)}{n}=170\
180n-360=170n\
180n-170n=360\
10n=360\
n=36$$

anonymous · Answer

Thank you so much!

anonymous · Answer

If the interior is 170 then the exterior is 10 and
sides = 360/10 = 36