# It is known that the angle ABC is 74, and the ray DB is its bisector. Calculate the DBC angle.

October 7, 2021 | education

| The condition says that the angle ABC = 74 degrees is given, where BD ∈ ∠ABC, and also BD is the bisector of the angle ABC. Find the DBC angle.

Solution.

By definition, a bisector is a ray emanating from the apex of an angle that divides the angle into two equal angles. Since, according to the condition, BD is the bisector of the angle ABC, then:

∠ DBC = 1/2 * ∠ ABC.

Substitute the values of the degree measure of the angle ABC and get:

∠ DBC = 1/2 * 74 ° = 37 °.

Answer: ∠ DBC = 37 °.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.