Given the figure, find the values of x and z,

[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]
Answer:
Solution given:
(6x-23)°+(9x-67)°=180°
Sum of angle in linear pair is supplementary
6x+9x-23-67=180°
15x-90=180°
15x=180°+90°
x=270°/15°
x=18°
again
6x-23°=Z vertically opposite angle are equal
z=6*18-23=85°
:.
x=18°
z=85°