Answer:
n = 6
∠1 = 66
Step-by-step explanation:
Assuming the middle ray is a bisector (it divides the two angles into same measure), we can say:
∠1 = ∠2
So we can equate the expressions of ∠1 and ∠2:
∠1 = ∠2
11n = 14n - 18
Now we solve:
11n = 14n - 18
18 = 14n - 11n
18 = 3n
n = 18/3 = 6
n = 6
Now, ∠1 = 11n, since we know "n", that would be:
∠1 = 11n = 11(6) = 66
Thus,
∠1 = 66
