Question

the exterior angle of a regular polygon is one fifth of its interior angle . how many sides have the polygon.​

Answer 1

Answer:

polygon has 5 sides

and it is Pentagon

Answer 2

Answer:

Hey friend,

Here is the answer you are searching for,

Let interior angle be x,

Exterior angle = x/5

formula of sides

= (360°/ Exterior angle),

(360°/ 180°-Interior angle)

=> 360° / (x/5) = 360° / (180° - x)

=>x / 5 = 180° - x

=>6x/5 = 180°

=>x = 180° × 5/6 = 150°

=> Interior angle = 150°

THEREFORE,

SIDES = 360° / 180°-150° = 360°/30° = 12 sides

HOPE IT HELPS YOU.

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