The swept angle ACE is divided by the CK beam into 2 angles so that the angle ACK is 3 times the KCE.

The swept angle ACE is divided by the CK beam into 2 angles so that the angle ACK is 3 times the KCE. Find the degree measure of the angle ACK and the angle KCE

Let’s solve the problem using the equation.
1) Let the degree measure of the angle KCE be x degrees, then the degree measure of the angle ACK is 3 * x degrees. We know that the Sweep angle ACE is divided by the CK ray into 2 angles, and the degree measure of the swept angle is 180 degrees. Let’s make the equation:
x + 3 * x = 180;
x * (1 + 3) = 180:
x * 4 = 180;
x = 180: 4;
x = 45 degrees – angle KCE;
2) 45 * 3 = 135 degrees – ACK angle.
Answer: 45 degrees and 135 degrees.