The ABC angle is 3 times the CBK angle. Calculate the degree measure for each angle.

Angles ABC and СВK have a common vertex B and a common side CB, therefore these angles are adjacent. Adjacent angles add up to a flat angle, which is 180 degrees. Then:
angle ABC + angle СВK = 180 degrees.
Let’s designate the ABC angle as 3x, and the СВK angle as x:
3x + x = 180;
4x = 180;
x = 180/4;
x = 45.
Angle СВK = x = 45 degrees, angle ABC = 3x = 3 * 45 = 135 (degrees).
Answer: СВK angle = 45 degrees, ABC angle = 135 degrees.