Question 921051
Exterior Angle Theorem

The measure of an exterior angle (for example: w) of a triangle equals to the sum of the measures of the two remote interior angles (for example: x and y) of the triangle.


if {{{3x - 22 }}} represents the exterior angle of the triangle and {{{80 + x }}} the sum of  remote interior angles, then you have  

{{{3x - 22 = 80 + x }}} ......solve for {{{x}}}

{{{3x - x = 80 + 22 }}}

{{{2x = 102 }}}

{{{x = 102/2 }}}

{{{x = 51 }}}......find exterior angle

Remember that "x" is not the answer here. We need the angles themselves, which are calculated as {{{3x - 22 }}}, {{{80}}}, and {{{x}}}. 

The angles, then, are:

{{{3x - 22 }}}=>{{{3*51 - 22 }}}=>{{{153- 22 }}}=>{{{highlight(131) }}}-{{{highlight(exterior)}}} angle

 {{{80}}} and {{{51}}} remote interior angles