Question

If the sum of exterior angle of a polygon is equal to half of the sum of interior angle of a polygon, find the number of side of the polygon

Answer 1

Answer:

It's a Hexagon.

Step-by-step explanation:

1/2 of x= 360 (sum of exterior angles)

x= 720°

Now;

(n-2)*180°

(n-2)*180°=720

n-2 = 4

n = 4+2

n=6

Therefore, it is a hexagon.

Answer 2

Answer:

3

Step-by-step explanation:

Let, the sum of all exterior angles be 'x'

      the sum of all interior angles be 'x/2'

we know that sum of all exterior angles is 360°

so, x = 360

x/2 = 360/2 = 180

Sum of all interior angles = 180°

For calculating sum of all interior angles, we've formula

n-2*180 ( n is no. of sides)

so,

180 = n - 2 * 180

180/180 = n-2

1+2 = n

n = 3

So, the no. of sides = 3

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