The difference between the angles, the largest of which lies between the lateral sides, and the second

The difference between the angles, the largest of which lies between the lateral sides, and the second at the base of an isosceles triangle, is equal to 30 degrees. Find all the angles of the triangle.

We know that the sum of all the angles of a triangle is 180 °.
By convention, we also know that the two base angles are the same, since the triangle is isosceles.
We know about the third angle that it is 30 ° larger than the other angles.
Let’s denote two equal angles through x, then the third largest angle will be x + 30 °.
Let’s make the equation:
x + x + x + 30 ° = 180 °
3 * x + 30 ° = 180 °
3 * x = 180 ° – 30 ° = 150 °
x = 150 °: 3
x = 50 °
We already know two equal angles, we find the third one:
x + 30 ° = 50 ° + 30 ° = 80 °.
Answer: the angles of the triangle are 80 °, 50 °, 50 °.