A) \[{{40}^{{}^\circ }}\]
B) \[{{65}^{{}^\circ }}\]
C) \[{{115}^{{}^\circ }}\]
D) \[{{70}^{{}^\circ }}\]
Correct Answer: A
Solution :
(a): \[\angle AOD=\angle ECO\Rightarrow \angle AOD={{65}^{{}^\circ }}\] So, \[\angle BOD={{115}^{{}^\circ }}\] Hence in \[\Delta BOD\] \[\angle OBD+\angle BOD+\angle ODB={{180}^{{}^\circ }}\] \[\angle OBD={{180}^{{}^\circ }}-\left( {{115}^{{}^\circ }}+{{25}^{{}^\circ }} \right)\] \[\angle OBD={{40}^{{}^\circ }}\]You need to login to perform this action.
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