The sum of outer angles of a polygon is twice the sum of inner angles. How many sides does it have?

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The sum of outer angles of a polygon is twice the sum of inner angles. How many sides does it have?

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Thành Công 4 years 2021-08-23T03:38:22+00:00 2 Answers 7 views 0

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  1. thienhuong
    0
    2021-08-23T03:39:29+00:00
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    Answer:

    3 sides

    Step-by-step explanation:

    sum of exterior angles for all polygons is 360°

    sum of interior angles for a polygon can be found by using the formula:

    (n – 2) · 180°  where ‘n’ is the number of sides

    ‘sum of outer angles’ = 360

    ‘twice the sum of inner angles’ = 2n

    360 = 2n

    n = 180

    a three-sided polygon (triangle) has 180 degrees

  2. ngochoa
    0
    2021-08-23T03:39:39+00:00
    Reply

    6

    The sum of the interior angles of a polygon is twice the sum of its exterior angles. Therefore, by solving we get n=6 sides

    HOPE IT HELPS

    THANK YOU

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