A) \[{{40}^{{}^\circ }}\]
B) \[{{70}^{{}^\circ }}\]
C) \[{{30}^{{}^\circ }}\]
D) \[{{90}^{{}^\circ }}\]
Correct Answer: A
Solution :
(a): \[\angle CEF=\angle ABF={{65}^{{}^\circ }}\] \[\therefore \]\[\angle FED={{180}^{{}^\circ }}-{{65}^{{}^\circ }}={{115}^{{}^\circ }}\] \[\angle EDF+\angle DFE+\angle FED={{180}^{{}^\circ }}\] \[\angle FDE={{180}^{{}^\circ }}-({{115}^{{}^\circ }}+{{25}^{{}^\circ }})={{40}^{{}^\circ }}\]
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