In a right-angled triangle, the degree measure of one of the acute angles is 30 degrees.

In a right-angled triangle, the degree measure of one of the acute angles is 30 degrees. How many degrees does another acute angle contain?

Let’s take advantage of the fact that in any triangle the sum of the values of all its interior angles is 180 °.

In the wording of the condition for this task, it is reported that this triangle is rectangular, therefore, one of the corners of this triangle is 90 °.

Also in the problem statement it is said that the degree measure of one of the acute angles of this triangle is 30 °.

Denoting by x the value of the second acute angle of the triangle, we can form the following equation:

x + 30 + 90 = 180,

solving which, we get:

x + 120 = 180;

x = 180 – 120 = 60 °.

Answer: 60 °.