SOMEONE FIND ANSWER TO MATH QUESTION.

Question

Use the given information to find the measure     . Hint: Use Angle Addition Postulate

 

Given: 

      

         

         

Find 

Answer 1

I'm guessing the situation looks like this:

The Angle Addition Postulate says you can break an angle into 2 pieces where the 2 pieces add together to the whole angle. So the measures of ∠AOB + ∠BOC = ∠AOC

Since m∠AOB = 6x + 2 and m∠BOC = 4x + 3 then (6x + 2) + (4x + 3) = 95. Using your algebra skills of combining like-terms, you get 10x + 5 = 95 or 10x = 90 or x = 9

But m∠AOB = 6x + 2 so m∠AOB = 6(9) + 2 = 56°