In a right-angled triangle ABC with a right angle C, the outer angle at the vertex A is 125 degrees. Find the angle ABC.

1. Proceeding from the fact that, according to the condition of the problem, the value of the external angle at the vertex A of the triangle is equal to 125º, we calculate the value of the internal angle ABC, subtracting it from the value of the expanded angle:

180 – 125 = 55º.

2. We calculate the value of the angle ABC:

180 – 55 – 90 = 35º.

Answer: the angle of the triangle at the vertex A is 35º.



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