Question 1205967

triangle {{{KLM}}}

 ∠{{{K}}} ≅ ∠{{{L}}}

we know that side {{{KM}}} is opposite angle {{{L}}} and side {{{ML}}} is opposite angle {{{K}}}, then side {{{LM =KM}}}

if

{{{KL = 9x - 40}}}
{{{LM = 7x - 37}}}
{{{KM = 3x + 23}}}

then

{{{LM =KM}}}
{{{7x - 37=3x + 23}}}
{{{7x - 3x=37 + 23}}}
{{{4x=60}}}
{{{x=60/4}}}
{{{x=15}}}


and the measure of each side is

{{{KL = 9x - 40=9*15-40=95}}}
{{{LM = 7x - 37=7*15-37=68}}}
{{{KM = 3x + 23=3*15+23=68}}}