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The sum of the measures of the angles of any triangle is 180 degrees. In triangle abc, angles a and b have the same measure, while the measure of angle c is 78 degrees larger than each of a and b. What are the measures of the three angles?
angle a is __degrees.

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  1. a+b+c = 180
    b = a
    c = a+78

    so,
    a + a + a+78 = 180
    3a = 102
    a = 34

    so, b=34 and c=112

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  2. The sum of the angles of a triangle is 180 degrees. In the figure below angle B and angle C are the same size. If angle A is 54 degrees smaller than angle B. Find the measure of each angle.

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