A) \[{{22.5}^{o}}\]
B) \[{{30}^{o}}\]
C) \[{{45}^{o}}\]
D) \[{{60}^{o}}\]
Correct Answer: A
Solution :
We have, \[\angle a=\angle b=\angle c=\angle d=x\](say) Now, \[\angle a+\angle b+\angle c+{{90}^{o}}+\angle d={{180}^{o}}\] (Angles on a straight line) \[\therefore \] \[x+x+x+{{90}^{o}}+x={{180}^{o}}\Rightarrow 4x={{90}^{o}}\] \[\Rightarrow \] \[x=\frac{{{90}^{o}}}{4}={{22.5}^{o}}\] \[\therefore \] \[\angle a={{22.5}^{o}}\]
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