Question

Please explain step-by-step. If you don't explain, don't even bother answering.

Answer 1

Alrighty... i am happy that you would like an explanation.. that is truly admirable...

let's begin!!!

Explanation:

We need to place everything into an equation to solve for x... after that we can substitute the value for x into the expression for m<BOC to get its value (i hope this isn't confusing... the math is easier though... trust me)

8X -67 +9X -75 = 96 Add 67 and 75 to both sides to isolate x

8X +9X = 238 --> 17X = 238

divide both sides by 17 to get x = 14

then subsitute x = 14 into the expression for m < BOC

you get 8(14)-67 = 45

therefore, the measure of <BOC is 45 degrees

I really hope this helps!!!!!

Answer 2

45°

Explanation:

From the diagram :

• ∠AOC = ∠AOB + ∠BOC
• 96 = 9x - 75 + 8x - 67
• 17x - 142 = 96
• 17x = 238
• x = 238/17
• x = 14

Finding ∠BOC :

• ∠BOC = 8x - 67
• ∠BOC = 8(14) - 67
• ∠BOC = 112 - 67
• ∠BOC = 45°