Question 678513

complementary angles are angles whose measures sum to {{{90}}}°

given:

{{{ m}}}<{{{1}}} = {{{6x-30}}} and {{{m}}}<{{{2}}} = {{{4x+10}}}


find: what is the value of {{{x}}} and {{{m}}}<{{{2 }}}


{{{(6x-30)+(4x+10)=90}}}

{{{6x-30+4x+10=90}}}

{{{10x-20=90}}}

{{{10x=90+20}}}

{{{10x=110}}}

{{{highlight(x=11)}}}


and {{{m}}}<{{{2}}} = {{{4x+10}}}


{{{m}}}<{{{2}}} = {{{4*11+10}}}

{{{m}}}<{{{2 }}}= {{{44+10}}}

{{{m}}}<{{{2}}} = {{{highlight(54)}}}