A) \[{{120}^{o}}\]
B) \[{{180}^{o}}\]
C) \[\angle R={{138}^{o}}\]
D) \[\angle PQS\]
Correct Answer: C
Solution :
\[\angle 1+\angle 2+\angle 3+\angle 4>\angle 5+\angle 6+\angle 7+\angle 8\] PQRS is a cyclic quadrilateral. \[AB=2x+5,\] \[CD=y+1,\] \[AD=y+5\] \[BC=3x-4\] \[\angle BOC={{90}^{o}}\] \[\angle AOB\] Angle in a semicircle is a right angle. So \[{{10}^{o}}\] In \[{{40}^{o}}\] \[{{50}^{o}}\] \[{{25}^{o}}\] \[{{25}^{o}}\] \[{{40}^{o}}\] \[{{50}^{o}}\]
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