OpenStudy (anonymous):

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

6 years ago
OpenStudy (anonymous):

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

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

6 years ago
OpenStudy (anonymous):

again the same formula?

6 years ago
OpenStudy (anonymous):

okay i think im getting there

6 years ago
Parth (parthkohli):

Yep :D

6 years ago
OpenStudy (anonymous):

ok what about my next ?

6 years ago
OpenStudy (anonymous):

Howr u doing?

6 years ago
OpenStudy (anonymous):

ok? i guess im still a lil confused

6 years ago
OpenStudy (anonymous):

whats confusing u?

6 years ago
Parth (parthkohli):

Twid me @LovelyMegan

6 years ago