Question

3
(b) The sum of the interior angles of a polygon is five times the sum of its exterior angles. Find the
number of sides in the polygon.

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Answer 1

Answer:

sum of exterior angles of a polygon = 360°

sum of interior angles of a polygon = 5*360= 1800

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

(n-2)*180=1800

(n-2)=1800/180

n-2=10

n=10+2

n=12

so the number of sides of a polygon is 12.

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