Respuesta :

AlgebraicAardvark

The angle with (6x-23) and (9x-67) together make a straight line, so their sum is 180:

    (6x-23) + (9x-67) = 180

So you need to solve that for x.

For z, z and (6x-23) are vertical angles, so their angle measures are the same.

    z = 6x-23

[tex]\\ \sf\bull\dashrightarrow 9x-67+6x-23=180[/tex]

[tex]\\ \sf\bull\dashrightarrow 9x+6x-67-23=180[/tex]

[tex]\\ \sf\bull\dashrightarrow 15x-90=180[/tex]

[tex]\\ \sf\bull\dashrightarrow 15x=180+90=270[/tex]

[tex]\\ \sf\bull\dashrightarrow x=18[/tex]

Now

[tex]\\ \sf\bull\dashrightarrow z=6x-23[/tex]

[tex]\\ \sf\bull\dashrightarrow z=18(6)-23[/tex]

[tex]\\ \sf\bull\dashrightarrow z=108-23[/tex]

[tex]\\ \sf\bull\dashrightarrow z=85[/tex]

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