Question 162591
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{{{A+B=180^o}}} --------------------> working eqn
but {{{A=3x+12}}}; {{{B=2x-22}}}
Subst. in working eqn
{{{3x+12+2x-22=180^o}}}
{{{5x=180^o+22-12}}}, combine similar terms
{{{5x=190}}} ----> {{{cross(5)x/cross(5)=cross(190)38/cross(5)}}}
{{{x=38^o}}}
So,
{{{A=3*38+12=114+12}}}
{{{highlight(A=126^o)}}}
{{{B=2*38-22=76-22}}}
{{{highlight(B=54^o)}}}
In doubt? go back working eqn,
{{{126^o+54^o=180^o}}}
{{{180^o=180^o}}}
Thank you,
Jojo</pre>