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9 November, 17:30

The angles in a triangle are such that one angle is 120 degrees more than the smallest angle, while the third angle is 3 times as large as the smallest angle. Find the measures of all three angles.

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  1. 9 November, 17:58
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    a = 132; b = 12; c = 36

    Step-by-step explanation:

    a = b + 120

    b = b

    c = 3b

    a + b + c = 180

    (substitute these into the above equation)

    b + 120 + b + 3b = 180

    5b + 120 = 180

    -120 - 120

    5b = 60

    /5 / 5

    b = 12

    (substitute b back into the first equations)

    a = (12) + 120 = 132

    b = (12)

    c = 3 (12) = 36

    (check: 132 + 12 + 36 = 180)
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