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.

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) (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) (Show Source): You can put this solution on YOUR website!

let one angle be and other
if angles are supplementary, we have
.........eq.1

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

..........substitute in eq.1

°
then

°

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