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I’m stuck on this problem

I’m stuck on this problem-example-1

1 Answer

6 votes

Answer:

487/5

Explanation:

The angles form a circle so they must add up to 360 degrees.


m\angle LON + m\angle LOM + m\angle MON = 360\\\\(77)+(9x+44)+(6x+3)=360\\15x+124=360\\15x=236\\x=236/15\\ \\ m\angle MON=6x+3\\ m\angle MON=6(236/15) + 3\\ m\angle MON=487/5

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