The OC beam divides the right angle AOB into two angles, so that the AOC angle is 4 times less than

The OC beam divides the right angle AOB into two angles, so that the AOC angle is 4 times less than the BOC angle, find the degree measures of the AOC and BOC angles.

It is known from the condition of the problem that the FB beam divides the right angle AOB into two angles. The AOC angle is 4 times less than the BOC angle.

Let x be the degree measure of the angle AOC.
Let 4x be the degree measure of the BOC angle.
The right angle is always 90 degrees.

Let’s compose and solve the equation.

x + 4x = 90;
5x = 90;
x = 90: 5;
x = 18 (degrees) – the degree measure of the AOC angle.

Now we can calculate the degree measure of the BOC angle.

18 * 4 = 72 (degrees) – the degree measure of the DOC angle.

Answer: the degree measure of the AOC angle is 18 degrees, the degree measure of the AOC angle is 72 degrees.