Question

Verify that the sum of all exterior angles of a polygon is 360°. in detail​

Answer 1

Step-by-step explanation:

The sum of the interior angles of a regular polygon with n sides is 180(n-2). So, each interior angle has measure 180(n-2) / n. Each exterior angle is the supplement to an interior angle. Sum of exterior angles = n(360 / n) = 360.

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Answer 2

Answer:

let us take an example of equilateral triangle

the internal angles made by each of the sides of an equilateral triangle is 60°

now, external angle made by each of the sides is equal to= 180-60= 120°

now, the sum of exterior angles in a triangle

is= 3× 120= 360° [verified]