if <A and <B are a linear pair and m<A=2x+8 and m<8=3x+2, what is the value of x?

Question

Please help with this question thank you very much ! Also if you could please explain how you got the answer and why it's the answer id appreciate it too to be able to get it.

Answer 1

As with all angle problems, you have to be able to identify the relationship between the given angles and mst know the definition of different angle pairs. Your problem stated that the given angles are linear pairs. By definition , linear pairs are adjacent angles that form a straight line and are supplementary, meaning the angles add up to 180 degrees. Now you have an equation you can use to solve for x.

 

m<A + m<B = 180

2x + 8  + 3x + 2 = 180  Now solve for x

5x + 10 = 180. Combine like terms

     -  10   - 10   subtract 10 from both sides

5x = 180  divide both side by 5

  x = 34   

 

Now that you know x, you can also find m<A and m<B and should check that these angles add up to 180 degrees.

 

 

Hope it helps!