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14 February, 22:37

12345678910 The measures of two consecutive angles of a parallelogram are in the ratio 6:3. What is the measure of an acute angle of the parallelogram?

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  1. 14 February, 23:03
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    60°

    Consecutive angles in a parallelogram are supplementary.

    The smallest angle is x and the largest angle is 180 - x.

    largest angle/smallest angle = 6/3 (as a fraction) = 180 - x/x

    6x = 540 - 3x

    9x = 540

    x = 60
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