Question

Find the numbers of sides of a regular polygon whose exterior angle is 108​

Answer 1

Answer:

Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5. Hence it is a regular pentagon

Answer 2

SOLUTION:

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QUESTION:

Find the numbers of sides of a regular polygon whose exterior angle is 108

GIVEN:

Interior angle of a regular polygon is 108 degree.

TO FIND:

Find the number of sides of a regular polygon.

FORMULA:

$\boxed{ \sf no. \: of \: sides = \frac{360}{exterior \: angle} }$

SOLVING BY APPLYING THE FORMULA:

To do so,

Exterior angle = 180° - 108°

Exterior angle = 72°

Now,

Number of sides = 360/72

Number of sides = 5

HENCE:

Number of sides in a polygen = 5

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