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Answer:
m<MON = 15
Step-by-step explanation:
Largest Angle equals the addition of the smaller angles. We know they add because they all have same Letter in the middle called the vertex.
m<LON = m<LOM + m<MON
77 = 9x + 44 + 6x + 3
77 = 15x + 47
30 = 15x
x = 2
m<MON = 6x + 3
m<MON = 6(2) + 3
m<MON = 15
Answer:
[tex]MON=15[/tex]°
Step-by-step explanation:
[tex]MON+LOM=LON[/tex]
[tex](6x+3)+(9x+44)=77[/tex]
combine like terms
[tex]15x+47=77[/tex]
subtract 47 from both sides
[tex]15x=30[/tex]
divide both sides by 15
[tex]x=2[/tex]
Now input this into the [tex]MON[/tex] equation
[tex]6x+3[/tex]
[tex]6(2)+3=[/tex]
[tex]12+3=15[/tex]
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