Indicate what the degree measure of the BOA angle is equal to, if the AOC angle is 108 degrees

| May 1, 2021 | education

Indicate what the degree measure of the BOA angle is equal to, if the AOC angle is 108 degrees, BOC is 2 times the BOA angle.

Given in the assignment. It is necessary to define ∠BOA. Let’s remember: if some object makes a full circle, then it is considered that it has rotated 360 °.
For our assignment, this statement formally looks like this: ∠BOA + ∠AOC + ∠BOC = 360 °.
According to the conditions of the assignment, the VOC angle is 2 times greater than the BOA angle, that is, ∠BOC = 2 * ∠BOA. In addition, the angle AOC is 108 degrees, that is, AOC = 108 °.
Taking these conditions into account, the equality from item 2 has the form: BOA + 108 ° + 2 * ∠BOA = 360 ° or 3 * ∠BOA = 360 ° – 108 °, whence ∠BOA = 252 °: 3 = 84 °.
Answer: The degree measure of the BOA angle is 84 °.



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.