The ABD angle is 6 times the CBD angle. Find angle CBD if angle ABC = 140

Let the degree measure of the angle СBD be x °. Then, if it is known that the angle ABD is 6 times greater than the degree measure of the angle СBD, then its value will be (6 * x) °. Because according to the condition of the problem, the angle ABC is 140 °, and it consists precisely of the angles CBD and ABD, then we solve the equation:

x + 6x = 140,

7x = 140,

x = 140/7,

x = 20.

Answer: the angle СBD has a degree measure equal to 20 °.