Question 1043802


< {{{S = (3x + 162)}}}

< {{{N = (73 + 2x)}}}

{{{(3x + 162) + (73 + 2x) = 180}}}

{{{5x + 235 = 180}}}

{{{5x = 180- 235 }}}

{{{5x =-55 }}}

{{{x =-55/5 }}}

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

now find each angle

< {{{S = 3x + 162}}}

< {{{S = 3(-11) + 162}}}

< {{{S = -33 + 162}}}

< {{{highlight(S = 129)}}}


< {{{N = 73 + 2x}}}

< {{{N = 73 + 2(-11)}}}

< {{{N = 73  -22}}}

< {{{highlight(N = 51)}}}

check if < {{{highlight(S = 129)}}} and < {{{highlight(N = 51)}}} are supplementary:
{{{highlight( 129+51=180)}}} which is true