The sum of the interior angles of a polygon is 14 × 180 . Work out the number of sides of the polygon.

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The sum of the interior angles of a polygon is 14 × 180 . Work out the number of sides of the polygon.

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Thiên Thanh 3 years 2021-07-16T06:34:42+00:00 1 Answers 5 views 0

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  1. minhkhue
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    2021-07-16T06:36:40+00:00
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    Answer:

    Number of sides of the polygon = 16

    Step-by-step explanation:

    Sum of the interior angle of a polygon = (n – 2) × 180°

    Here, n = Number of sides of the polygon

    If sum of the interior angles = 14 × 180°

    Therefore, (n – 2) × 180° = 14 × 180°

    (n – 2) = 14

    n = 14 + 2

    n = 16

    Number of sides of the polygon = 16

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