OpenStudy (anonymous):

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

5 years ago
OpenStudy (anonymous):

Let the number of sides be n 180(n-2)=(n)60 solve for n.

5 years ago
Parth (parthkohli):

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. \(\Large \color{MidnightBlue}{\Rightarrow {180n - 360 \over n} = 60 }\) \(\Large \color{MidnightBlue}{\Rightarrow 60n = 180n - 360 }\) \(\Large \color{MidnightBlue}{\Rightarrow 0 = 120n - 360 }\) \(\Large \color{MidnightBlue}{\Rightarrow 360 = 120n }\) \(\Large \color{MidnightBlue}{\Rightarrow n = 3 }\)

5 years ago
OpenStudy (anonymous):

again the same formula?

5 years ago
OpenStudy (anonymous):

okay i think im getting there

5 years ago
Parth (parthkohli):

Yep :D

5 years ago
OpenStudy (anonymous):

ok what about my next ?

5 years ago
OpenStudy (anonymous):

Howr u doing?

5 years ago
OpenStudy (anonymous):

ok? i guess im still a lil confused

5 years ago
OpenStudy (anonymous):

whats confusing u?

5 years ago
Parth (parthkohli):

Twid me @LovelyMegan

5 years ago