Question

Use the given information to find the measure.

Answer 1

Answer:

From the image, we can see that ∠AOC = ∠AOB + ∠BOC

We are given the following values:

∠AOC = 104

∠AOB = 7x + 30

∠BOC = 9x + 42

Plugging these values in the equation above:

∠AOC = ∠AOB + ∠BOC

104 = 7x + 30 + 9x + 42

104 = 16x + 72

16x = 32

x = 2

Now that we have the value of x, we can easily find the value of ∠BOC

We are given that:

∠BOC = 9x + 42

∠BOC = 9(2) + 42           (since x = 2)

∠BOC = 18 + 42

∠BOC = 60°

Therefore, ∠BOC is 60 degrees