The ABC angle is part of the ABD angle. it is known that the angle ABC is less than the angle CBD by 36

The ABC angle is part of the ABD angle. it is known that the angle ABC is less than the angle CBD by 36 degrees, and the angle ABD is 156 degrees. Find the CBD angle

1) Let’s denote what the angle ABC is equal to x degrees, then if it is less than the angle CBD by 36 degrees, then it is equal to (x + 36) degrees. Because the degree measure of the angle ABD is known and is equal to 156 degrees, we will compose the equation:

x + (x + 36) = 156,

2x = 156 – 36,

2x = 120,

x = 120/2,

x = 60.

2) Then we get that the CBD angle will be:

60 + 36 = 96 (°)

Answer: The degree measure of the CBD angle is 96 °.