Homework Help: math

Posted by Kelly on Friday, September 7, 2012 at 4:15pm.

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.

math - Steve, Friday, September 7, 2012 at 4:20pm
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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