In a right-angled triangle, one of the outer corners is 115 °. Find the smaller angle of the right-angled toe.

1. It is known that:

a) the sum of the angles of the triangle is 180 *.

b) the sum of adjacent angles is 180 *.

2. With one vertex of a triangle, the outer and inner corners are adjacent.

This means that the angle of the triangle, at the vertex of which the external angle, according to the condition of the problem, is 115 *, is equal to

180 * – 115 * = 65 *.

3. Find the third corner of a right-angled triangle

180 * – 90 * – 65 * = 35 * – this means this angle is the smallest angle of the triangle.

Answer: The smallest angle of the triangle is 35 *.