A) \[{{115}^{o}}\]
B) \[{{135}^{o}}\]
C) dependent on the angles A and D
D) cannot be determined from given data
Correct Answer: B
Solution :
As shown in the figure the angle bisectors of \[\angle S={{75}^{o}}\] and \[\angle Q\]meet at O. Let \[{{50}^{o}}\] \[{{85}^{o}}\] \[{{120}^{o}}\] (\[{{360}^{o}}\] \[{{90}^{o}}\] and \[{{90}^{o}}\] and \[{{270}^{o}}\] are Adjacent angles) \[{{60}^{o}}\] \[{{300}^{o}}\] and \[\therefore \frac{\angle D}{2}=\frac{180-x}{2}=90-\frac{x}{2}.\] \[\angle AOD=180-\left( \frac{x}{2}+90{}^\circ -\frac{x}{2} \right)\] \[\Rightarrow \angle AOD=180{}^\circ -(90{}^\circ )=90{}^\circ \]You need to login to perform this action.
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