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23 July, 19:09

the second angle of a triangle measures three times as large as the first, if the third angle measures 55 degrees more than the first, find the measure of all threeangles

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  1. 23 July, 19:38
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    M represents measure of first angle

    3m represents measure of second angle

    m + 55 represents measure of third angle

    Sum of angles equals 180°

    m + 3m + m + 55 = 180 combine like terms

    5m + 55 = 180 subtract 35 from both sides

    5m = 125

    m = 25

    The three angles are 25, 75, and 80.

    Check

    29 + 75 + 80 = 180

    180 = 180
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