## the exterior angle of a regular polygon is one fifth of its interior angle . how many sides have the polygon.

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

Answer:polygon has 5 sides

and it is Pentagon

Answer:Heyfriend,Hereistheansweryouaresearchingfor,Letinterioranglebex,Exteriorangle=x/5formulaofsides=(360°/Exteriorangle),(360°/180°–Interiorangle)=>360°/(x/5)=360°/(180°–x)=>x/5=180°–x=>6x/5=180°=>x=180°×5/6=150°=>Interiorangle=150°THEREFORE,SIDES=360°/180°–150°=360°/30°=12sidesHOPEITHELPSYOU.PLEASEMARKASBRAINLIEST...