A) \[{{47}^{o}},\,{{66}^{o}}\]
B) \[{{66}^{o}},{{48}^{o}}\]
C) \[{{68}^{o}},{{47}^{o}}\]
D) \[{{47}^{o}},{{68}^{o}}\]
Correct Answer: B
Solution :
In \[\Delta TCE,\] \[x=\angle TCE+\angle TEC\] (Exterior angle property) \[\Rightarrow \] \[x={{35}^{o}}+{{31}^{o}}\] \[\Rightarrow \] \[x={{66}^{o}}\] In \[\Delta SBD,\] \[\angle AST=\angle SBD+\angle SDB\] (Exterior angle property) \[\angle AST={{30}^{o}}+{{36}^{o}}={{66}^{o}}\] In \[\Delta ATS,\] \[y+x+\angle AST={{180}^{o}}\] (Angle sum property) \[\Rightarrow \] \[y+{{66}^{o}}+{{66}^{o}}={{180}^{o}}\] \[\Rightarrow \] \[y={{180}^{o}}-({{66}^{o}}+{{66}^{o}})\Rightarrow y={{48}^{o}}\]
You need to login to perform this action.
You will be redirected in
3 sec
