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I need help on in the answer to this question

I need help on in the answer to this question-example-1
User Redcrow
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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.

I need help on in the answer to this question-example-1
User KTiwari
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