Question 119138
Since they are complementary, the angles add to 90 ie {{{G+H=90}}}



So {{{3x+6+2x-11=90}}}



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



{{{5x=90+5}}}Add 5 to both sides



{{{5x=95}}} Combine like terms on the right side



{{{x=(95)/(5)}}} 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+6}}} Start with the first angle



{{{G=3(19)+6}}} Plug in {{{x=19}}}



{{{G=57+6}}} 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(19)-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}}}