One of the acute corners of a right triangle is 24 degrees larger than the other. Find the acute corners of the triangle.

It is known from the condition that one of the acute angles of a right-angled triangle is 24 ° larger than the other.

In order to find the acute angles of a triangle, recall the theorem on the sum of the angles of a triangle.

It says that the sum of the angles of the triangle is 180 °.

We also know that one of the angles in a right-angled triangle is 90 °.

We denote the unknown angle using the variable x, then the second can be written as (x + 24) °. Let’s compose and solve the equation.

x + x + 24 + 90 = 180;

2x = 180 – 24 – 90;

2x = 66;

x = 66: 2;

x = 33 ° acute angle of the triangle and 33 + 24 = 57 ° the second acute angle of the triangle.

Answer: 33 °; 57 °.