Question 478011
The angles are supplementary angles; so, they add up to {{{180}}}

∡1 + ∡2={{{180}}}

we also know that ∡1={{{7x-12}}} and ∡2={{{x}}}

 {{{(7x-12)+x=180}}}...solve for {{{x}}}

{{{8x-12=180}}}

{{{8x=180+12}}}

{{{8x=192}}}

{{{x=192/8}}}

{{{x=24}}}....this is the measure of ∡2



  now we can find the measure of ∡1 


∡1={{{7x-12}}}

∡1={{{7*24-12}}}

∡1={{{168-12}}}

∡1={{{156}}}

so, your angles are ∡2={{{24}}} and ∡1={{{156}}}


re symbol: yes, this geometry symbol mean "measured angle"