A) \[{{97}^{o}}\]
B) \[{{127}^{o}}\]
C) \[{{100}^{o}}\]
D) \[{{117}^{o}}\]
Correct Answer: D
Solution :
\[\angle CGE+\angle EGB+\angle BGD={{180}^{o}}\] (Angles on a straight line) \[\therefore \] \[{{25}^{o}}+\angle EGB+{{38}^{o}}={{180}^{o}}\] \[\angle EGB={{180}^{o}}-({{25}^{o}}+{{38}^{o}}\text{)}={{180}^{o}}-{{63}^{o}}={{117}^{o}}\]And \[\angle y=\angle EGB\] (vertically opposite angles) \[\therefore \] \[\angle y={{117}^{o}}\]You need to login to perform this action.
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