Answer:
[tex]z=68[/tex]
Step-by-step explanation:
Use the formula [tex]180\times(n-2)[/tex] to find the sum of the angles in a polygon, given n sides. This formula tells us the angles of this pentagon must add to 540 ([tex]180\times(5-2)=540[/tex]).
So, we can setup an equation:
[tex]70+2z+11+119+z+2z=540[/tex]
Solve for z:
[tex]200+5z=540[/tex] Combine like terms
[tex]5z=340[/tex] Subtract 200
[tex]z=68[/tex] Divide by 5
Therefore, the value of z = 68.
