Answer:
∠MON = 130º
Step-by-step explanation:
∠LON = ∠LOM + ∠MON
∠LON = 180º
180 = (4x + 30) + (8x+ 90)
combine like terms
180 = 12 x + 120
60 = 12x
x = 5
plug x into equations.
∠MON = 8(5) + 90
∠MON = 40 + 90
∠MON = 130º
check work:
∠LOM = 4(5) + 30
∠LOM = 20 + 30
∠LOM = 50
∠LON = ∠LOM + ∠MON
180 = 50 + 130
