The median AM in triangle ABC is equal to the segment BM. Prove that ∠BAC = ∠B + ∠C.

Property: If in a triangle the median is equal to half of the side that it divided, then this triangle is right-angled.
Then the angle BAC = 90 °, and the sum of angle B and angle C = 90 ° (by the property of a right-angled triangle).



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.