Beam BK was drawn from vertex B of unfolded angle ABC so that angle ABK = 108 degrees.

Beam BK was drawn from vertex B of unfolded angle ABC so that angle ABK = 108 degrees. Beam BD is the bisector of angle CBK. Calculate the degree measure of the angle DBK.

1. The degree measure of the deployed angle ABC is 180⁰.

2. Let us find the degree measure of the angle ABC by subtracting the degree measure of the angle ABC from the degree measure of the angle ABC.

180⁰ – 108⁰ = 72⁰ degree measure of the CВK angle.

3. Since ВD is the bisector of the angle CBK, it divides it into two equal angles DBK and DBС.

Find the degree measure of the angle DBK.

72/2 = 36⁰ degree measure of the DBK angle.

Answer: 36⁰.