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28 May, 06:26

The measures of the angles of triangle RST are in the ratio 2:4:9. What are the measures of the angles?

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  1. 28 May, 08:53
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    Measures of the angles are 24°, 48° and 108°

    Step-by-step explanation:

    Step 1: Given ratio = 2:4:9. Sum of angles of triangle = 180°

    Let angles be 2x, 4x and 9x.

    ⇒ 2x + 4x + 9x = 180

    ⇒ 15x = 180

    ⇒ x = 180/15 = 12

    Step 2: Find angles.

    2x = 24°, 4x = 48° and 9x = 108°
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