SOLUTION: The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle. this is what i did... 4(x-180)-

Algebra ->  Angles -> SOLUTION: The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle. this is what i did... 4(x-180)-      Log On


   

Question 216198: The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle.

this is what i did... 4(x-180)-30=180
4x-720-30=180
4x=930?
HELP test tomorrow!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: if 'x' is the given angle, then 90-x is the complement and 180-x is the supplement.


So the equation should be 4%2890-x%29-30=180-x


4%2890-x%29-30=180-x Start with the given equation.


360-4x-30=180-x Distribute.


-4x%2B330=180-x Combine like terms on the left side.


-4x=180-x-330 Subtract 330 from both sides.


-4x%2Bx=180-330 Add x to both sides.


-3x=180-330 Combine like terms on the left side.


-3x=-150 Combine like terms on the right side.


x=%28-150%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=50 Reduce.


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Answer:

So the solution is x=50 which means that the angle is 50 degrees.