It is known that ∠ABC = 36 °, ∠CBD is 3 times more than ∠ ABD. find ABD.

univerkov | April 29, 2021 | education

1. Let us denote the degree measure ∠ ABD by x.

2. Define the degree measure ∠CBD:

3 * x = 3x.

3. Since ∠ABS = ∠ABD + ∠CBD, then we compose and solve the equation:

3x + x = 36˚;

4x = 36˚;

x = 36˚: 4;

x = 9˚.

4. The degree measure ∠ ABD is equal to x = 9˚.

Answer: the degree measure ∠ ABD is equal to 9˚.

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.