SOLUTION: the measure of angle x is 9 degrees more than twice the measure of angle y. if angle x and angle y are supplementary angles, find the measure of angle x.

Question 642474: the measure of angle x is 9 degrees more than twice the measure of angle y. if angle x and angle y are supplementary angles, find the measure of angle x.
Answer by Century(7) (Show Source): You can put this solution on YOUR website!
The measure of angle x is 9 degrees more than twice the measure of angle y.
The above sentence gives us the equation
If angle x and angle y are supplementary angles, find the measure of angle x.
This sentence gives the equation because supplementary angles are two angles whose measures add to 180 degrees.
So this problem gives the following system of equations, which can be solved by substitution

Since we know that , can be substituted into the 2nd equation for x to give
Now we have 1 equation with 1 variable which can be rewritten as
or subtracting 9 from both sides we have
dividing both sides by 3 gives
Therefore angle y is 57 degrees and angle x equals 180-57 or 123 degrees.
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