Question 1125389
two angles are supplementary when they add up to {{{180}}} degrees 
{{{m}}}<{{{1}}}+{{{m}}}<{{{2}}}={{{180}}}

since given {{{m}}}<{{{1}}}={{{5y +16}}} and {{{m}}}<{{{2}}}={{{10y +14}}}

we have:
 
{{{5y+16 +10y +14=180}}}

{{{15y+30=180}}}
{{{15y=180-30}}}
{{{15y=150}}}
{{{y=10}}}


if {{{m}}}<{{{2}}}={{{10y +14}}}, we have

{{{m}}}<{{{2}}}={{{10*10 +14}}}

{{{m}}}<{{{2}}}={{{100 +14}}}

{{{m}}}<{{{2}}}={{{highlight(114)}}} degrees


check:
first find
{{{m}}}<{{{1}}}={{{5y +16}}}
{{{m}}}<{{{1}}}={{{50 +16}}}
{{{m}}}<{{{1}}}={{{highlight(66)}}}


{{{114+66=180}}}
{{{180=180}}} which confirms our solution