A) \[x={{47}^{o}},y={{25}^{o}}\]
B) \[x={{27}^{o}},y={{45}^{o}}\]
C) \[x={{45}^{o}},y={{27}^{o}}\]
D) \[x={{25}^{o}},y={{47}^{o}}\]
Correct Answer: C
Solution :
Given \[BE||CD,\] \[{{x}^{o}}={{45}^{o}}\]. (Corresponding angles) In \[\Delta ACD,\] \[{{x}^{o}}+{{y}^{o}}+{{108}^{o}}={{180}^{o}}\] (Angle sum property.) \[\Rightarrow \] \[{{45}^{o}}+y+{{108}^{o}}={{180}^{o}}\] \[\Rightarrow \] \[y={{180}^{o}}-{{153}^{o}}={{27}^{o}}\] \[\therefore \] \[x={{45}^{o}},y={{27}^{o}}\]
You need to login to perform this action.
You will be redirected in
3 sec
