A right angle with two rays with the beginning at its vertex is divided into three corners. The first corner

A right angle with two rays with the beginning at its vertex is divided into three corners. The first corner is one-half of the second corner, and the third is three-fifths of the first corner. Calculate the degree measures of these angles.

1. Let the first angle be x, then the second angle will be 2 * x, and the third angle will be 3/5 * x. The three angles add up to 90 degrees. Let’s make the equation:

x + 2 * x + 3/5 * x = 90;

2. Multiply both sides of the equation by 5:

5 * x + 10 * x + 3 * x = 450;

3. Here are similar terms:

18 * x = 450;

x = 450/18;

x = 25;

4. So the first angle is 25 degrees, then the second angle is 25 * 2 = 50 degrees, and the third angle is 3/5 * 25 = 15 degrees.

5. Answer: The first is 25 degrees, the second is 50 degrees, the third is 15 degrees.