In a right-angled triangle, the angle between the height and the bisector drawn

In a right-angled triangle, the angle between the height and the bisector drawn from the vertex of the right angle is 39. Find the smaller angle of this triangle.

The bisector divides the right angle into 45 ° angles.
Whereas the height divided the angle 45 ° by 39 °, as stated in the problem, and 45 – 39 = 6 °.
Since the height creates a right angle, then the greater angle of the triangle ABC is: 90 – 6 = 840.
Then the smaller angle is: 90 – 84 = 6 °.



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.