The POK angle is 145 °, the OM is drawn inside the angle. The KOM angle is 80 °

The POK angle is 145 °, the OM is drawn inside the angle. The KOM angle is 80 ° less than the POM angle. How many degrees does the POM angle contain?

1). The degree measure of the POM angle is x degrees.

2). Let’s calculate what the degree measure of the KOM angle is equal to.

(x – 80) degrees.

3). Let’s compose and solve the equation.

x + (x – 80) = 145;

x + x – 80 = 145;

2x = 145 + 80;

2x = 225;

x = 225/2 = 112.5;

x = 112.5;

Answer: The degree measure of the POM angle is x = 112.5 degrees.