The right angle MKD is divided by the ray KP into two angles MKP and PKD. Find the degree measures

The right angle MKD is divided by the ray KP into two angles MKP and PKD. Find the degree measures of these angles if it is known that the MKP angle is 2 times the PKD angle.

1. Let’s admit the angle PKD formed by the side of the right angle MKD and the ray KP is equal to x degrees.

2. Determine what is the value of the angle MKR.

x * 2 = 2x degrees.

3. Let’s make an equation and find how many degrees is the angle PKD.

x + 2x = 90;

3x = 90;

x = 90/3 = 30 °.

4. What is the degree measure of the MKP angle?

x * 2 = 30 * 2 = 60 °.

Answer: 30 ° and 60 °.