∠ RQS and ∠ TQS are a linear pair where m∠ RQS = 2x + 4 and m∠ TQS = 6x + 20
1. Solve for x.
2. Find m∠ RQS and m∠ TQS
3. Show how you can check your answer
I want help to understand how to solve the problem because I have others to solve also.

Question

∠ RQS and ∠ TQS are a linear pair where m∠ RQS = 2x + 4 and m∠ TQS = 6x + 20 
1.	Solve for x.
2.	Find  m∠ RQS and  m∠ TQS
3.	Show how you can check your answer
I want help to understand how to solve the problem because I have others to solve also.

campbell_st · Answer

linear pair means the angles add to 180 degrees

so 

2x + 4 + 6x + 20 = 180

collect like terms then solve for x

anonymous · Answer

2x + 4 + 6x + 20 = 180
      -4           -4    = 2x +6x + 16 = 180

anonymous · Answer

do I have to subtract 4 from 180?

campbell_st · Answer

make it easier if you collect the like terms 1st 

you get

8x + 24 = 180

now its easier to solve

anonymous · Answer

ohh okay so then you do 
8x + 24 = 180 
      -24     -24  = 8x = 156

campbell_st · Answer

yep thats right

anonymous · Answer

Then you do 
8x/8 = 156/8 = 
x = 19.5

campbell_st · Answer

great... so you know x

now you can find the measure of both angles bu=y substituting

anonymous · Answer

Thank you so much! :)