A) \[120{}^\circ \]
B) \[160{}^\circ \]
C) \[60{}^\circ \]
D) \[240{}^\circ \]
Correct Answer: C
Solution :
Since ABCD is a cyclic quadrilateral, \[\angle DAB=\angle BCE={{120}^{o}}.\] Since AC is the bisector of \[\angle DAB,\] \[\angle DAC=\frac{{{120}^{o}}}{2}={{60}^{o}}.\] Since angles in the same segment are equal, \[\angle DBC=\angle DAC={{60}^{o}}.\]You need to login to perform this action.
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