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  • 14-02-2018
  • Mathematics
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Multiple Choice
4. If each interior angle of a regular convex polygon is nine times the measure of the exterior angle, how many sides does it have?
18 sides
10 sides
40 sides
20 sides

Respuesta :

soniayeung1243oxuz6x
soniayeung1243oxuz6x soniayeung1243oxuz6x
  • 15-02-2018
let x be the degree of an exterior angle
x+9x=180
x=18
let n be the no. of sides
(n-2)*180/n=9*18
180n-360=162n
18n=360
n=20
so the no. of sides is 20
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