A) \[{{40}^{o}},\,\,{{30}^{o}}\]
B) \[{{50}^{o}},\,\,{{77}^{o}}\]
C) \[{{30}^{o}},\,\,{{45}^{o}}\]
D) \[{{90}^{o}},\,\,{{30}^{o}}\]
Correct Answer: B
Solution :
Since\[AB||CD\] \[\therefore \]\[x=\angle APQ={{50}^{o}}\](alternate angles) In \[\Delta PQR,x+y={{127}^{o}}\](exterior angle property) \[\Rightarrow \]\[y={{127}^{o}}-{{50}^{o}}\Rightarrow y={{77}^{o}}\]
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