Find the angles of an isosceles triangle if the base angle is 36 degrees greater than the apex angle.

Given: triangle ABC – isosceles;
BCA angle = BCA angle = ABC angle + 36;
Find the angles: BCA, BCA, ABC
Solution: Let the angle ABC be x degrees, then the angle BCA = angle BCA = angle x + 36 degrees. We know that the sum of the degree measures of any triangle is 180 degrees. Let’s make the equation:
x + 36 + x + 36 + x = 180;
3 * x = 180 – 72;
x = 108: 3;
x = 36 degrees – angle ABC.
36 + 36 = 72 degrees – BCA angle = BCA angle.
Answer: 36 degrees, 72 degrees and 72 degrees.