Question

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

Answer 1

what is the meaning of the first part?

Answer 2

can you rewrite it please ...

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

Thank you so much!

Answer 8

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