Bisector BD is drawn in triangle ABC, angle ADB = 120 degrees, angle B = 80 degrees. Find the angles of the DBC triangle.
| March 15, 2021 | education
The bisector divides the angle in half, so:
∠ ABD = ∠ DBC = 80 ° / 2 = 40 °;
The sum of adjacent angles is 180 °, so:
∠ ВDC = 180 ° – ∠ АDВ = 180 ° – 120 ° = 60 °;
The sum of all angles in a triangle is always 180 °, so:
∠ С = 180 ° – ∠ ВDC – ∠ DВС = 180 ° – 60 ° – 40 ° = 180 ° – 100 ° = 80 °.
Answer: 40 °, 60 °, 80 °
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.
