Answer:
\[x={{180}^{o}}-{{70}^{o}}={{110}^{o}}\] |Linear pair property and the opposite angles of a parallelogram are equal measure. \[y={{40}^{\text{o}}}\] \[{{40}^{o}}+z+x={{180}^{o}}\] |The adjacent angles in a parallelogram are supplementary \[\Rightarrow \] \[{{40}^{o}}+z+{{110}^{o}}={{180}^{o}}\] \[\Rightarrow \] \[z+{{150}^{o}}={{180}^{o}}\] \[\Rightarrow \] \[z={{180}^{o}}-{{150}^{o}}\] \[\Rightarrow \] \[z={{30}^{o}}\].
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