Question

Sum of the interior angles of a polygon is 5 times the sum of its exterior angle. Find the number of side
of the polygon.
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Answer 1

Answer:

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THE NO. OF SIDES OF POLYGON IS 12

Step-by-step explanation:

the sum of exterior angles of any polygon is 360 degrees.

given,

the sum of interior angles of a polygon is 5 times the exterior angle.

sum of interior angles=5*360=1800 degrees

but,

sum of interior angles=(n-2)*180.

so,

(n-2)*180=1800

(n-2)=10. (note this step)

n=12

so,

the number of sides of the polygon is 12.