Question 495405
if m of angle {{{JNP=3x-15}}} and m of angle {{{JNL=5x+59}}} find the value of {{{x}}} so that angle {{{JNP}}} and angle {{{JNL}}} are {{{supplements}}} of each other

by definition, {{{supplementary}}} angles add up to {{{180}}}°

 angles {{{JNP+JNL=180}}}


{{{(3x-15)+(5x+59)=180}}}

{{{3x-15+5x+59=180}}}

{{{8x+44=180}}}

{{{8x=180-44}}}

{{{8x=136}}}

{{{x=136/8}}}

{{{highlight(x=17)}}}

so,  m of angle {{{JNP=3x-15}}} ..->..{{{JNP=3*17-15}}} ..->..{{{JNP=36}}}

and m of angle {{{JNL=5x+59}}} ..->..{{{JNL=5*17+59}}}..->..{{{JNL=144}}}

check if they are supplementary:

{{{JNP+JNL=180}}}

{{{36+144=180}}}

{{{180=180}}}