SOLUTION: Another Geometry word problem that I cannot translate into algebra: If two angles are supplementary, and the larger angle is 20 degrees less than three times the smaller angle,

Question 53294This question is from textbook Elementary and Intermediate Algebra
: Another Geometry word problem that I cannot translate into algebra:
If two angles are supplementary, and the larger angle is 20 degrees less than three times the smaller angle, find the measure of each angle. This question is from textbook Elementary and Intermediate Algebra

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Supplementary angles are angles that add together to = 180 degrees (a straight line)
If two angles + together=180
The smaller angle=x
The larger angle is 20 degrees less than (-20) three times (*3) the smaller angle (x). The larger angle=3x-20.
Your problem to solve is:
Smaller angle + larger angle=180
(x)+(3x-20)=180
(1+3)x-20=180
4x-20=180
4x-20+20=180+20
4x=200
4x/4=200/4
x=50
The smaller angle:x=50 degrees
The larger angle:3x-20=3(50)-20=150-20=130 degrees
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