One acute corner of a right triangle is twice the size of the other. Find the smaller acute angle.

From the condition we know that one acute angle of a right-angled triangle is twice as large as the other.

In order to find the smaller acute angle of the triangle, we compose and solve a linear equation with one variable.

We denote by the variable x the degree measure of one of the acute angles, then the second acute angle can be written as 2x.

The angles of a triangle add up to 180 °.

Let’s compose and solve the equation:

x + 2x + 90 = 180;

3x = 90;

x = 30 ° is the smaller acute angle of a right triangle.

Answer: 30 ° smaller angle of the triangle.