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What is the value of 1? and n?

What is the value of 1? and n?-example-1
User Yasseros
by
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1 Answer

1 vote

Answer:

n = 6

∠1 = 66

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

User Ashanrupasinghe
by
5.4k points