Given a triangle ABC, angle A = angle B and angle C greater than angle a by 30 degrees. find the angles A, B, C.

Let the angle be equal to the variable m.

Then, according to the condition of the problem, the angle a (as well as the angle b, because a = b) can be represented in the form m – 30.

Since we know from the school geometry course that the sum of all these angles is 180 °, then it is possible to write down the equation and find out what each of the angles of the triangle will equal:

m + m – 30 + m – 30 = 180;

3m = 240;

m = 80;

80 – 30 = 50.

Answer: Angle a will be 50 °, angle b will also be 50 °, and angle c will be 80 °.