Question

Find the number of sides of a regular polygon if one interior angle is 60 degrees.
3
4
5
6

Answer 1

Let the number of sides be n

180(n-2)=(n)60
solve for n.

Answer 2

As I said, the formula to find one interior angle is:

\(\Large \color{MidnightBlue}{\Rightarrow {180n - 360 \over n} }\)

Here, one interior angle is 60 degrees.

\(\Large \color{MidnightBlue}{\Rightarrow {180n - 360 \over n} = 60 }\)

\(\Large \color{MidnightBlue}{\Rightarrow 60n = 180n - 360 }\)

\(\Large \color{MidnightBlue}{\Rightarrow 0 = 120n - 360 }\)

\(\Large \color{MidnightBlue}{\Rightarrow 360 = 120n }\)

\(\Large \color{MidnightBlue}{\Rightarrow n = 3 }\)

Answer 3

again the same formula?

Answer 4

okay i think im getting there

Answer 5

Yep :D

Answer 6

ok what about my next ?

Answer 7

Howr u doing?

Answer 8

ok? i guess im still a lil confused

Answer 9

whats confusing u?

Answer 10

Twid me @LovelyMegan