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8 September, 07:51

One angle of a triangle measures 140°. The other two angles are in a ratio of 7:13. What are the measures of those two angles?

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  1. 8 September, 09:35
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    The unknown angles are in a ratio of 7 to 13.

    Let 7x represent the smaller measure. Then, 13x represents the larger measure.

    7x + 13x + 140 = 180

    20x + 140 = 180

    20x = 40

    x = 2

    7x = 7 * 2 = 14

    13x = 13 * 2 = 26

    The measures are 14 degree and 26 degrees.
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