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23 November, 08:32

How can I solve this question step by step?

In the interior angles of a regular polygon sum to 1260 degrees. how many sides does it have?

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  1. 23 November, 08:45
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    9

    Step-by-step explanation:

    The sum of the interior angles of a polygon is

    sum = 180° (n - 2) ← n is the number of sides, thus

    180 (n - 2) = 1260 (divide both sides by 180)

    n - 2 = 7 (add 2 to both sides)

    n = 9

    The number of sides of the regular polygon is 9
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