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

Question

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

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Lyla 4 weeks 2021-09-22T21:57:31+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-22T21:58:32+00:00

    Answer:

    polygon has 5 sides

    and it is Pentagon

    0
    2021-09-22T21:58:59+00:00

    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.

    PLEASE MARK AS BRAINLIEST...

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