Answer:
(i) \[x={{55}^{o}}\] \[x+y={{180}^{o}}\] \[\Rightarrow \] \[{{55}^{o}}+y={{180}^{o}}\] \[\Rightarrow \] \[y={{180}^{o}}-{{55}^{o}}\] \[\Rightarrow \] \[{{125}^{o}}\] \[z=y={{125}^{o}}\] (ii) \[{{40}^{o}}+x+{{25}^{o}}={{180}^{o}}\] \[\Rightarrow \] \[x+65={{180}^{o}}\] \[\Rightarrow \] \[x={{180}^{o}}-{{65}^{o}}\] \[\Rightarrow \] \[x={{115}^{o}}\] \[y={{180}^{o}}-{{40}^{o}}\] \[={{140}^{o}}\] \[z+y={{180}^{o}}\] \[\Rightarrow \] \[z+{{140}^{o}}={{180}^{o}}\] \[\Rightarrow \] \[z={{180}^{o}}-{{140}^{o}}\] \[={{40}^{o}}\]
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