The base angle of an isosceles triangle becomes 130% of the apex angle. Find the corners of the triangle.

We introduce the variable x and denote it the angle pi to the vertex of this isosceles triangle. The angles at the base are equal, we get two angles equal:
x * 130% = 1.3x.
The sum of the angles is 180 °, we get the equation:
x + 1.3x + 1.3x = 180
3.6x = 180
x = 50 ° – apex angle.
1.3 * 50 ° = 65 ° – angle at the base.
Answer: the degree measure of the angles is 65 °, 65 °, 50 °.