In a right-angled triangle ABC, the outer angle of the acute angle A is 132 degrees.

In a right-angled triangle ABC, the outer angle of the acute angle A is 132 degrees. Find the acute angles of a triangle if the angle is C = 90 degrees.

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

180 – 132 = 48º.

2. We calculate the value of the angle ABC or BAC:

180 – 48 – 90 = 42º.

Answer: the acute angles of the triangle are 42º and 48º.