The MON angle is 80, the OK ray divides this angle by two so that one angle is 7 times larger than the other.

1. Let’s denote the angle of the MOC through x.

2. Determine the value of the angle KON:

7 * x = 7x.

3. Since the MON angle is 80˚, then we compose and solve the equation:

7x + x = 80˚;

8x = 80˚;

x = 80˚: 8;

x = 10˚.

4. The IOC angle is x = 10˚.

5. What is the angle KON?

7 * x = 7 * 10˚ = 70˚.

Answer: 10˚ and 70˚.



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