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

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.