SOLUTION: Two angles are supplementary if the sum of their measures is 180°. Find two supplementary angles such that one is 84° more than 12 of the other.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two angles are supplementary if the sum of their measures is 180°. Find two supplementary angles such that one is 84° more than 12 of the other.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1192900: Two angles are supplementary if the sum of their measures is 180°. Find two supplementary angles such that one is 84° more than 12 of the other.
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be the measure of one of the angles.

Then if "12 of the other" is interpreted as 12 times the other, the measure of the other angle is 12x+84.

The sum of the measures is 180:

(x)+(12x+84)=180

Solve for x using basic algebra; then the two angles are x and 12x+84.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let one angle be alpha and other beta
if angles are supplementary, we have
alpha%2Bbeta=180.........eq.1

if one ( let’s say alpha) is 84° more than 12+of the other, we have

alpha=12beta%2B84..........substitute in eq.1
12beta%2B84%2Bbeta=180
13beta=180-84
13beta=96
beta=96%2F13
beta=7.38°
then
alpha=12%2A7.38%2B84
alpha=172.62°