Respuesta :

Answer:

LOM= 130º

Step-by-step explanation:

Combine the two equations and set it to equal 180º(LON), 180º=12x+120º

next subtract 120º from both sides, 60º=12x. Now divide both sides by 12, 5=x. Now you can plug 5 back into the original equation to calculate MON, 8x5+90º

ricchad

Answer:

∠MON = 130

Step-by-step explanation:

∠LON = 180°

∠LOM +  ∠MON = 180 -------equation

where:

∠LOM = 4x + 30

∠MON = 8x + 90

plugin values into the equation

4x + 30 + 8x + 90  = 180

4x + 8x + 30 + 90 = 180

12x = 180 - 30 - 90

12x = 60

x = 60/12

x = 5

plugin values to ∠MON = 8x + 90

∠MON =  8x + 90

∠MON = 8(5) + 90

∠MON = 130

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