The CF beam divides the deployed angle MCN into two angles MCF and FCN. Find the degree measure

The CF beam divides the deployed angle MCN into two angles MCF and FCN. Find the degree measure of these angles if the FCN angle is 30 degrees less than the MCF angle.

The MCN angle is 180 degrees since it is unrolled. Let the angle MCF be x, and the angle FCN be x – 30. Let’s write the equation:

x + x – 30 = 180

2x = 210.

x = 105 degrees (angle MCF).

105 – 30 = 75 degrees (FCN angle).