Answer:
From the given figure, we can see that
∠LON = ∠LOM + ∠MON
replacing the variables with the given values
77 = 9x + 44 + 6x + 3
77 = 15x + 47
15x = 30
x = 2
Finding ∠MON:
we are given that ∠MON = 6x +3
now that we know the values of x,
∠MON = 6(2) + 3
∠MON = 12 + 3
∠MON = 15°
