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#