Find adjacent angles MKE and PKE if FKE is 24 ° greater than PKE, where KF is the bisector of MKE.

Let’s solve this problem using the equation.
Let the PKE angle be x degrees, then the FKE angle = MKE angle = (x + 24) degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 24 + x + 24 = 180;
x + x + x + 48 = 180;
x + x + x = 180 – 48;
x + x + x = 132;
x * (1 + 1 + 1) = 132;
x * 3 = 132 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 132: 3;
x = 44 degrees – the degree measure of the PKE angle;
44 + 24 = 68 degrees is the degree measure of the FKE angle and MKE angle.
Answer: 68 degrees; 68 degrees; 44 degrees.