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24 September, 20:39

The expression 40x^2 - 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, what expression represents the measure of two angles?

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  1. 25 September, 00:11
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    The answer is 2 (8x² - 13x + 10)

    Since the expression is the sum of 2 angles of total 5 angles in the pentagon, the measure of two angles is:

    (40x² - 65x + 50) * 2/5 =

    = (5 * 8x² - 5 * 13x + 5 * 10) * 2/5 =

    = 5 (8x² - 13x + 10) * 2/5 =

    = (8x² - 13x + 10) * 2 =

    = 2 (8x² - 13x + 10)
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