Question 158209
I'll do the first one to get you started.



# 1


Since angles A and B are complementary, this means that {{{A+B=90}}}



{{{A+B=90}}} Start with the given equation.



{{{5x+8+x+4=90}}} Plug in A=5x+8 and B=x+4



{{{6x+12=90}}} Combine like terms on the left side.



{{{6x=90-12}}} Subtract {{{12}}} from both sides.



{{{6x=78}}} Combine like terms on the right side.



{{{x=(78)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}.



{{{x=13}}} Reduce.



{{{A=5x+8}}} Go back to the first angle



{{{A=5(13)+8}}} Plug in {{{x=13}}}



{{{A=65+8}}} Multiply



{{{A=73}}} Add



So the first angle is 73 degrees



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{{{A=x+4}}} Go back to the second angle



{{{A=13+4}}} Plug in {{{x=13}}}



{{{A=17}}} Add



So the second angle is 17 degrees