One corner of a right-angled triangle is 24 ° smaller than the other. Find these corners.

From the condition we know that one acute angle of a right-angled triangle is 24 ° less than the other.

In order to find the larger acute angle of a triangle, let’s recall the theorem on the sum of the angles of a triangle.

The angles of a triangle add up to 180 °.

In a right-angled triangle, one angle is 90 °, the second angle is denoted by the variable x, and the third is written as (x – 24).

Let’s compose and solve the equation:

x + x – 24 + 90 = 180;

2x = 180 – 90 + 24;

2x = 114;

x = 114: 2;

x = 57 °;

One of the acute angles is 57 °; and the second 57 ° – 24 ° = 33 °