Find the angles of an isosceles triangle

Find the angles of an isosceles triangle if the angle opposite the base, at 24 degrees less than the angle at the base of the triangle.

The triangle is isosceles. In an isosceles triangle the angles at the base are equal. The sum of the angles of a triangle is 180 degrees.

Let the angle at the base through X. Then the angle opposite the base, is equal to X-24. We write the formula for the sum of angles of a triangle and find the X:

2х+х-24=180
3х=180+24
х=204/3
х=68

Now we find the third angle:

х-24=68-24=44

Make a check:

2*68+44=136+44=180

Answer: the corners of triangle are equal to 68, 68 and 44 degrees.