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8 June, 08:58

A pentagon the Measures of four of its angle are shown bellow: what is the value of x?

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  1. 8 June, 11:41
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    See below.

    Step-by-step explanation:

    The sum of the measures of the interior angles of an n-sided polygon is

    (n - 2) 180

    A pentagon has 5 sides, so for a pentagon, n = 5.

    (n - 2) 180 = (5 - 2) 180 = 3 (180) = 540

    The sum of the measures of the angles of a pentagon is 540.

    You don't show the measures of the 4 angles that are known, so to answer the question, add the 4 given measures and subtract the sum from 540.
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