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

September 28, 2021 | education

| **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.

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