If each interior angle of a regular polygon is 10 times its exterior angle ,then the number of sides the polygon has?
2 Answers
Aug 27, 2017
Regular polygon has
Explanation:
Let
Exterior angle is
Interior angle is
By given condition :
Regular polygon has
Aug 27, 2017
Explanation:
"using the following polygon facts"
• "interior angle + exterior angle "=180^@
• " sum of exterior angles "=360^@
rArr"number of sides "n=360^@/"exterior angle"
"let x be the exterior angle"
rArr"interior angle "=10x
rArr11x=180rArrx=180/11
rArrn=360/(180/11)=cancel(360)^2xx11/cancel(180)^1=22