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Question 345945: two angles are supplementary. One angle is 3 degrees less that twice the other.Find the measures of the angles.
what is the measure of the smaller angle
what is the measure of the other angle
Answer by haileytucki(390)   (Show Source):
You can put this solution on YOUR website! 2Y-3+Y=180_X+Y=180
Since 2Y and Y are like terms, add Y to 2Y to get 3Y.
3Y-3=180_X+Y=180
Since -3 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3 to both sides.
3Y=3+180_X+Y=180
Add 180 to 3 to get 183.
3Y=183_X+Y=180
Divide each term in the equation by 3.
(3Y)/(3)=(183)/(3)_X+Y=180
Simplify the left-hand side of the equation by canceling the common factors.
Y=(183)/(3)_X+Y=180
Simplify the right-hand side of the equation by simplifying each term.
Y=61_X+Y=180
Replace all occurrences of Y with the solution found by solving the last equation for Y. In this case, the value substituted is 61.
Y=61_X+(61)=180
Remove the parentheses around the expression 61.
Y=61_X+61=180
Since 61 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 61 from both sides.
Y=61_X=-61+180
Add 180 to -61 to get 119.
Y=61_X=119
Replace all occurrences of Y with the solution found by solving the last equation for Y. In this case, the value substituted is 61.
Y=61_X=119
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