Question

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.

Answer 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

Answer 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.