A) \[{{40}^{o}},{{62}^{o}}\]
B) \[{{45}^{o}},{{61}^{o}}\]
C) \[{{47}^{o}},{{54}^{o}}\]
D) \[{{30}^{o}},{{60}^{o}}\]
Correct Answer: B
Solution :
[a] As. \[\angle DFC+\angle x={{180}^{o}}\](Linear pair) \[\therefore \] \[{{135}^{o}}+\angle x={{180}^{o}}\] \[\Rightarrow \] \[\angle x={{180}^{o}}-{{135}^{o}}={{45}^{o}}\] [b] As, \[\angle y+\angle AFB+\angle x={{180}^{o}}\] (Angles on a straight line) \[\therefore \] \[\angle y+{{74}^{o}}+{{45}^{o}}={{180}^{o}}\] \[\Rightarrow \] \[\angle y={{180}^{o}}-({{74}^{o}}+{{45}^{o}})\] \[\Rightarrow \] \[\angle y={{180}^{o}}-{{119}^{o}}={{61}^{o}}\]You need to login to perform this action.
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