Question

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

Answer 1

`\\ \sf\bull\dashrightarrow 9x-67+6x-23=180`

`\\ \sf\bull\dashrightarrow 9x+6x-67-23=180`

`\\ \sf\bull\dashrightarrow 15x-90=180`

`\\ \sf\bull\dashrightarrow 15x=180+90=270`

`\\ \sf\bull\dashrightarrow x=18`

Now

`\\ \sf\bull\dashrightarrow z=6x-23`

`\\ \sf\bull\dashrightarrow z=18(6)-23`

`\\ \sf\bull\dashrightarrow z=108-23`

`\\ \sf\bull\dashrightarrow z=85`

Answer 2

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°