Question

3. If the sum of exterior angles of a polygon is equal to half of the sum of interior angles of a polygon , find the number of sides of the polygon .
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Answer 1

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• The number of sides are 3.

Given:-

• the sum of exterior angles of a polygon is equal to half of the sum of interior angles of a polygon.

Step by step Explaination:-

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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Hope it helps you : )