Question 789235


 {{{m}}} < {{{T}}} if {{{m}}} <{{{T}}} is {{{20}}} more than {{{four}}}{{{ times}}} its {{{supplement=S}}}:

{{{T=4S+20}}}....eq.1

Supplementary angles add to {{{180}}}°. 

so, {{{T+S=180}}}.......eq.2...substitute {{{T}}} from eq.1

{{{4S+20+S=180}}}......solve for {{{S}}}

{{{5S+20=180}}}

{{{5S =180-20}}}

{{{5S =160}}}

{{{S =160/5}}}

{{{highlight(S =32)}}}

now find {{{T}}}

{{{T=4S+20}}}....eq.1

{{{T=4*32+20}}} 

{{{T=128+20}}}

{{{highlight(T=148) }}}