Answer:
The answer to your question is 42°
Explanation:
Data
m∠BOC = 6x - 6
m∠AOB = 5x + 8
m∠BOC = ?
Process
We know that the segments OA ⊥ OC so they are complementary angles.
1.- The sum of complementary angles equals 90°
m∠BOC + m∠AOB = 90°
2.- Substitution
6x - 6 + 5x + 8 = 90°
3.- Solve for x
6x + 5x = 90 + 6 - 8
4.- Simplify
11x = 88
5.- Result
x = 88/11
x = 8
6.- Calculate m∠BOC
m∠BOC = 6(8) - 6
= 48 - 6
= 42°