Find the measures of the angles if the ray divides the right angle into two angles, one of which is half the size of the other.

1. We know that the degree measure of a right angle is 90 °. To solve this problem, we need to write an equation. Let x be the degree measure of one angle, then 2x is the degree measure of the other angle. Now we can write the equation. We get:

x + 2x = 90

3x = 90

2. Now we need to divide both sides of the resulting equation by the letter coefficient in front of x. We get:

3x = 90 | : 3

x = 30 ° – the degree measure of one angle.

Then 30 ° * 2 = 60 ° is the degree measure of another angle.

Answer: 30 ° and 60 °.