Angle ABC unfolded, ray BK divides angle ABC into two angles so that one of the angles is 34

Angle ABC unfolded, ray BK divides angle ABC into two angles so that one of the angles is 34 degrees larger than the other. Find these corners

1. Let’s designate the angle ABK through x.

2. Define the degree measure of the angle of the СВK:

(x + 34˚).

3. Since the angle ABC is deployed, then we compose and solve the equation:

x + (x + 34˚) = 180;

x + x + 34˚ = 180;

2x + 34˚ = 180;

2x = 180˚ – 34˚;

2x = 146˚;

x = 146˚: 2;

x = 73˚.

4. Angle AВK is equal to x = 73˚.

5. What is the degree measure of the СВK angle?

x + 34˚ = 73˚ + 34˚ = 107˚.

Answer: 73˚ and 107˚.