A) \[{{40}^{{}^\circ }}\]
B) \[{{60}^{{}^\circ }}\]
C) \[{{80}^{{}^\circ }}\]
D) \[{{85}^{{}^\circ }}\]
Correct Answer: B
Solution :
(b): \[\angle OCX={{45}^{{}^\circ }}\] \[\angle COD+\angle COX={{180}^{{}^\circ }}\] \[\angle COX={{180}^{{}^\circ }}-\angle COD={{180}^{{}^\circ }}-{{115}^{{}^\circ }}={{65}^{{}^\circ }}\] In \[\Delta OCX\] \[\angle OCX+\angle COX+\angle OXC={{180}^{{}^\circ }}\] \[\Rightarrow \]\[{{45}^{{}^\circ }}+{{65}^{{}^\circ }}+\angle OXC={{180}^{{}^\circ }}\] \[\Rightarrow \]\[\angle OXC={{180}^{{}^\circ }}-{{110}^{{}^\circ }}={{70}^{{}^\circ }}\Rightarrow x={{70}^{{}^\circ }}\]You need to login to perform this action.
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