The MF beam divides the swept angle EMH by a ratio of 1: 2, counting from the ME beam.

The MF beam divides the swept angle EMH by a ratio of 1: 2, counting from the ME beam. Find the value of the angle LMH if ML is the bisector of the angle EMF. A right angle by two rays emanating from its vertex is divided into three angles, one at which is equal to the difference between the other two angles. Find the larger of these angles.

It is known from the condition that the MF beam divides the deployed angle EMH in a ratio of 1: 2. the unfolded angle is always 180 degrees.

Find the total number of parts that make up the corners.

1) 1 + 2 = 3 (parts) – make up the corners.

Next, we calculate the number of degrees, which is one angle.

2) 180: 3 = 60 (degrees) – makes one angle.

Now we can calculate the number of degrees that make up the second angle.

3) 60 * 2 = 120 (degrees) – constitutes the second angle.

Answer: The first angle is 60 degrees and the second angle is 120 degrees.