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5 December, 02:13

Find the measure of one interior angle in each regular polygon. Round your to nearest tenth if necessary.

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  1. 5 December, 02:56
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    The value of the interior angle of the regular polygon is calculated using the formula (n - 2) 180 / n where n is the number of sides of the regular polygon.

    Step-by-step explanation:

    A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.

    The triangle has 3 interior angles of 60 degrees

    The square has 4 interior angles of 90 degrees.

    The pentagon has 5 interior angles of 108 degrees.

    The formula for the interior angle of a regular polygon is given by,

    (n - 2) 180 / n

    where n refers to the number of sides.

    Triangle : (3 - 2) 180 / 3 = 60 degree.

    Square : (4 - 2) 180 / 4 = 90 degree.

    Pentagon: (5 - 2) 180 / 5 = 108 degree.
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