A) \[{{30}^{o}}\]
B) \[{{60}^{o}}\]
C) \[{{75}^{o}}\]
D) \[{{80}^{o}}\]
Correct Answer: B
Solution :
Given, PS = RS, \[\angle PQS={{60}^{o}}\]and \[\angle SQR=x\]Since, angles in the same segment are equal. \[\therefore \]\[\angle SPR=\angle SQR=x\] Also, \[\angle SPR=\angle SRP\] (\[\because \] PS = RS) \[\therefore \]\[\angle SRP=x\] \[\angle SRP=\angle PQS\] (Angles in the same segment are equal) \[\Rightarrow \]\[x={{60}^{o}}\]
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