A) \[{{68}^{o}}\]
B) \[{{72}^{o}}\]
C) \[{{80}^{o}}\]
D) \[{{126}^{o}}\]
Correct Answer: C
Solution :
It is given that, \[AB||MN||CD\] and \[\angle 1={{42}^{o}},\angle 4={{38}^{o}}\] Now, \[\angle 1=\angle 2\](Alternate angles) \[\Rightarrow \] \[\angle 2={{42}^{o}}\] And \[\angle 3=\angle 4\] (Alternate angles) \[\Rightarrow \]\[\angle 3={{38}^{o}}\] Now, \[\angle POQ=\angle 2+\angle 3={{42}^{o}}+{{38}^{o}}={{80}^{o}}\]
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