A) \[{{90}^{o}}\]
B) \[{{85}^{o}}\]
C) \[{{75}^{o}}\]
D) \[{{65}^{o}}\]
Correct Answer: D
Solution :
As\[\angle B+\angle D={{180}^{o}}\]and\[\angle A+\angle C={{180}^{o}}\] \[x+10+5y+5={{180}^{o}}\] \[\Rightarrow \] \[x+5y={{165}^{o}}\] ? (i) \[2x+4+4y-4={{180}^{o}}\] \[\Rightarrow \] \[2x+4y={{180}^{o}}\] ? (ii) Solving, \[x\] and \[y\] are\[{{40}^{o}}\]and\[{{25}^{o}}\] \[\therefore \] \[x+y={{40}^{o}}+{{25}^{o}}={{65}^{o}}\]
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