Question

I need help on in the answer to this question

Answer 1

To find out the value of z we can use the formula

`z=(w+79)/(2)`

But we also have to find out the value of w, which be found using the equation

`360=x+79+w+60`

Which needs the value of x, which be found using

`(x+60)/(2)=70`

But instead of doing all that and finding the value of x, w and z. We can directly find z using the fact that

Because it's all angles opposite by a vertex, and the sum of them all will be 360º, then we can say that

`\begin{gathered} z+70+z+70=360 \\ \\ 2z+2\cdot70=360 \\ \\ 2z+140=360 \\ \\ 2z=360-140 \\ \\ 2z=220 \\ \\ z=(220)/(2) \\ \\ z=110 \end{gathered}`

Therefore, z = 110º.