SOLUTION: Angles G and H are complementary. If {{{m<G=3x+6 and m<H=2x-11}}}, what is the measure of each angle?

Algebra ->  Algebra  -> Angles -> SOLUTION: Angles G and H are complementary. If {{{m<G=3x+6 and m<H=2x-11}}}, what is the measure of each angle?      Log On

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Question 119138: Angles G and H are complementary. If m%3CG=3x%2B6+and+m%3CH=2x-11, what is the measure of each angle?
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Since they are complementary, the angles add to 90 ie G%2BH=90


So 3x%2B6%2B2x-11=90


5x-5=90 Combine like terms on the left side


5x=90%2B5Add 5 to both sides


5x=95 Combine like terms on the right side


x=%2895%29%2F%285%29 Divide both sides by 5 to isolate x



x=19 Divide

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Answer:
So the value of x is x=19


G=3x%2B6 Start with the first angle


G=3%2819%29%2B6 Plug in x=19


G=57%2B6 Multiply


G=63 Add

So the first angle is G=63


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H=2x-11 Start with the second angle


H=2%2819%29-11 Plug in x=19


H=38-11 Multiply


H=27 Subtract

So the second angle is H=27

So our two angles are G=63 and H=27