A) \[\overline{AB}=\overline{BX}=\overline{CX}\]
B) \[\overline{AB}<\overline{BX}<\overline{CX}\]
C) \[\overline{BX}<\overline{AB}<\overline{CX}\]
D) \[\overline{AB}>\overline{BX}>\overline{CX}\]
Correct Answer: D
Solution :
\[\angle B=35{}^\circ ,\angle C=65{}^\circ \] \[\angle A=180{}^\circ -35{}^\circ -65{}^\circ =80{}^\circ \] \[\therefore \] \[\angle BAX=40{}^\circ =\angle XAC\] In \[\Delta \,ABX\] \[\angle B=35{}^\circ ,\angle BAX=40{}^\circ \] \[\angle BXA=105{}^\circ \] \[\therefore \] \[\overline{AB}>\overline{BX}>\overline{CX}\]You need to login to perform this action.
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