A) \[{{68}^{o}}.\text{ }{{136}^{o}}\]
B) \[{{68}^{o}}.\text{ }{{68}^{o}}\]
C) \[{{68}^{o}}.\text{ 22}{{\text{4}}^{o}}\]
D) \[{{34}^{o}}.\text{ 13}{{\text{6}}^{o}}\]
Correct Answer: C
Solution :
\[\angle AOB={{68}^{o}}\] (given) As exterior angle of a quadrilateral is equal to interior opposite angle \[\therefore \] \[\angle ABC=\angle CDE={{68}^{o}}\] Also. \[\angle AOC=2\times {{68}^{o}}={{136}^{o}}\] [Angle subtended at centre] \[\therefore \] Reflex \[\angle AOC={{360}^{o}}-{{136}^{o}}={{224}^{o}}\]
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