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6 November, 02:33

two triangles are complementary. the measure of the larger angle is 26 degrees more than three times the measure of the smaller angle. what is the measure of each angle?

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  1. 6 November, 02:52
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    Larger angle = 74 degree

    Smaller angle = 16 degree

    Step-by-step explanation:

    Let's take smaller angle as x.

    So larger angle will be 3x + 26.

    So their both sum should be 90 (complementary angle)

    So we can write x + (3x + 26) = 90

    Same as 4x + 26 = 90

    4x = 90 - 26

    Therefore 4x = 64

    X = 64 / 4

    Therefore x = 16

    So smaller angle = 16

    Larger angle = 3x + 26

    16 * 3 = 48

    48 + 26 = 74
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