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

- math -
**Anonymous**, Tuesday, January 26, 2016 at 5:59pm
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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