Question 907828

If two angles add to {{{90}}}°, we say they "Complement" each other.

so, {{{A+B=90}}}

given:

m< {{{A = (4x - 2) }}}°

m< {{{B = (11x + 17) }}}°


than {{{(4x - 2)+(11x + 17)=90}}} ....solve for {{{x}}}


{{{4x - 2+11x + 17=90}}}

{{{15x+ 15=90}}}

{{{15x=90-15}}}

{{{15x=75}}}

{{{x=75/15}}}

{{{x=5}}}

now find

m< {{{A =(4x-2)}}}° =>m< {{{A =(4*5 -2)}}}° =>m< {{{A = 20-2}}}° =>m< {{{A = 18 }}}° 

m< {{{B =(11x +17)}}}°=>m< {{{B =(11*5 + 17)}}}°=>m< {{{B =55+17}}}°=>m< {{{B = 72}}}°


check:

{{{A+B=90}}}°=>{{{18+72=90}}}°=>{{{90=90}}}°