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 72 degrees larger than each of a and b. what are the measures of the three angles?

Its given that the sum of the values of total angles of a triangle is 180. It is also given that angles a and b are equal and that value of c is 72. Thus we get the following equation:
   
a + b + c = 180
   
a + a + 72 = 180 since a = b

2a = 108
   
a = b = 54 and c = 72