SOLUTION: 1 and 2 are supplementary. If m 1 = 60° and m 2 = (2x + 20). What is the value of x? i dont understand what they are asking?

Algebra ->  Angles -> SOLUTION: 1 and 2 are supplementary. If m 1 = 60° and m 2 = (2x + 20). What is the value of x? i dont understand what they are asking?       Log On


   



Question 469220: 1 and 2 are supplementary. If m 1 = 60° and m 2 = (2x + 20). What is the value of x? i dont understand what they are asking?
Found 3 solutions by ewatrrr, Earlsdon, Tatiana_Stebko:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

 
Hi,
1 and 2 are "supplementary". If m 1 = 60° and m 2 = (2x + 20)
What is the value of x?
60° + (2x+20) = 180°
2x = 100
x = 50°

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You are being asked to solve for x using the given information:
Angles 1 and 2 are supplementary which means that their sum is 180 degrees.
So if you add angle 1 (60 deg.) and angle 2 (2x+20)deg. and set the sum equal to 180 degrees, you'll have an equation that will allow you to solve for x.
60%2B%282x%2B20%29+=+180 Simplify.
2x%2B80+=+180 Subtract 80 from both sides.
2x+=+100 Divide both sides by 2.
highlight%28x+=+50%29

Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
if angles 1 and 2 are supplementary then their sum is 180°.
Som1%2Bm2=180
60%2B%282x%2B20%29=180
2x=180-60-20
2x=100
x=100%2F2
x=50