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15 December, 04:55

Suppose that in a certain triangle, the degree measures of the interior angles are in the ratio $2:3:4$.

If the largest interior angle measures $x^/circ$, what is the value of $x$?

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  1. 15 December, 05:47
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    x = 80°

    Step-by-step explanation:

    Let the measures of each angle be 2y, 3y, and 4y. Then

    2y + 3y + 4y = 180

    9y = 180

    y = 20°

    Then, the measure of the largest angle is

    4y = 80°

    x = 80°
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