Respuesta :

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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