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College Math

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In a certain triangle the measure of one angle is triple the measure of a second angle but is 110 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle?

  • College Math - ,

    just write it algebraically:

    b = 3a
    b = c-110
    a+b+c=180

    a + 3a + (110+3a) = 180
    7a = 70

    a=10
    b=30
    c=140

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