Question

As it possible to have a Regular polygon with measure
each exterior angle
as 580°? Why ? can it be an interion angle of a regular polygon​

Answer 1

Answer:

We know that each exterior angle of regular polygon is given by 360/n

then, 360/n = 580

n= 180/290

which is not a natural number

It is not possible to have a regular polygon with each exterior angle as 580 degree

 Also,

We know that each interior angle of a regular polygon is given by (n-2)/n x 180 degree

so, (n-2)/n x 180 degree = 580

n=180/61

which is not a natural number

therefore, 580 degree  cannot be an interior angle of a regular polygon.

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Step-by-step explanation: