The degree measure of the angle ABC is 48 °. ABC beam is drawn inside the corner. Find the degree measures of the ABK

The degree measure of the angle ABC is 48 °. ABC beam is drawn inside the corner. Find the degree measures of the ABK and CDK angles, if the degree measure of the ABK angle is three times larger than the degree measure of the CDK angle.

Let’s designate the degree measure of the СВK angle through X degrees, then the AВK angle will be equal to 3 * X degrees. Let’s compose and solve the equation:

X + 3 * X = 48;

4 * X = 48;

X = 48/4 = 12.

3 * X = 12 * 3 = 36.

Answer: the degree measure of the СВK angle is 12 °, and the degree measure of the AВK angle is 36 °.