In a triangle ABC m (angle A) = 57. Find the obtuse angle between the bisectors of angles B and C.
| September 9, 2021 | education
Since the sum of the inner angles of the triangle is 180, then the sum of the angles (ABC + ACB) = (180 – BAC) = (180 – 57) = 123.
Since the segments CH and BM are the bisectors of the angles, the sum of the angles (BCН + CBM) = (ABC + ACB) / 2 = 123/2 = 61.5.
Then in the triangle BОС the angle BОС = (180 – (ВСН + СВМ)) = (180 – 61.5) = 118.5.
Answer: The obtuse angle between the bisectors of the angles is 118.5.
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.
