Find the measure of a central angle of a regular polygon with 10 sides

Question

Find the measure of a central angle of a regular polygon with 10 sides

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Ella 1 week 2021-11-20T19:56:33+00:00 1 Answer 0

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    2021-11-20T19:58:25+00:00

    Answer:

    114 degrees

    Step-by-step explanation:

    The formula to find the measure of all angles in a regular polygon is (n-2)180, where n = total number of sides.

    Thus, we substitute n for 10, and you get:

    (10-2)180=1440

    If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.

    A central angle in a regular ten-sided polygon would be 144 degrees.

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