Find the measure of each interior angle and each exterior angle of a regular 90-gon.

Question

Find the measure of each interior angle and each exterior angle of a regular 90-gon.

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Nho 6 months 2021-07-27T03:58:34+00:00 1 Answers 4 views 0

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  1. minhkhang
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    2021-07-27T03:59:57+00:00
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    Answer:

    Interior angle

    176 degrees

    Exterior

    4 degrees

    Step-by-step explanation:

    Exterior angle

    For any polygon, the measure of the total exterior angle is 360

    To get the individual exterior angle, we divide the total by n, which is the number of sides, 90 in this case

    We have this as;

    360/90 = 4

    Interior

    To get the measure of each interior angle, we use the formula below;

    [(n-2)180]/n

    n in this case is 90

    So we have

    [(90-2)180]/90

    = (88 * 180)/90

    = 2 * 88 = 176

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