# In an isosceles triangle, the angle at the base is 30 degrees less than the angle opposite the base.

In an isosceles triangle, the angle at the base is 30 degrees less than the angle opposite the base. Find what all the angles of the triangle are equal to.

In an isosceles triangle, the angles at the base are equal, we denote their degree measure as x;

Since the angle opposite to the base is 30 ° more than the angle at the base, then we denote it: x + 30;

Since the sum of any triangle is 180 °, we compose and solve the equation:

x + x + (x + 30) = 180;

x + x + x + 30 = 180;

3x + 30 = 180;

3x = 180 – 30;

x = 50 ° – angles at the base of the triangle;

(x + 30) = 50 + 30 = 80 ° – the angle of the apex of the triangle. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.