In an acute-angled triangle ABC, the angle A is 59 degrees, AD is the height, and the DAC angle is 34 degrees. Find the DBA corner.

Consider the triangle DAB.
If the angle BAC is 59˚ and the angle DAC is 34˚, then the angle DAB = 59˚ – 34˚ = 25˚.
In a right triangle, the sum of the acute angles is 90˚. Therefore:
DBA – right-angled triangle with right angle ADB.
Angle DBA = 90˚ – 25˚ = 65˚.
Answer: 65˚.



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