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28 August, 14:26

The measures of the angles of XYZ are in the ratio 1:4:10. What are the measures of the angles?

(SHOW YOUR WORK)

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  1. 28 August, 15:32
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    Answer:the angles are 12 degrees, 48 degrees and 120 degrees.

    Step-by-step explanation:

    The sum of the angles in a triangle is 180 degrees.

    The measures of the angles of XYZ are in the ratio 1:4:10. The total ratio is the sum of the proportion of each angle. It becomes

    1 + 4 + 10 = 15

    Therefore, the measure of the first angle would be

    1/15 * 180 = 12 degrees

    Therefore, the measure of the second angle would be

    4/15 * 180 = 48 degrees

    Therefore, the measure of the third angle would be

    10/15 * 180 = 120 degrees
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