Question

Find each of the interior angle to the exterior angle of a regular polygon is 7 : 2. Find the number
of sides of a polygon.

Answer 1

Let the polygon have x sides.

Ext Angle = 360 / x

Int Angle = (X - 2 )× 180 / x

Now this ratio is 7 : 2

Solve to get the values of X.

Answer 2

Answer:

9 SIDES

Step-by-step explanation:

{(2n-4/n)×90} / {360/n}=7/2

=(180n-360/n) / 360/n=7/2

=180n-360/360=7/2

=2(180n-360)=7×360

=180n-360=1260

=180n=1620

thus, n=9

so the polygon mentioned above is 9sided.

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