A) \[45{}^\circ \]
B) \[60{}^\circ \]
C) \[75{}^\circ \]
D) \[90{}^\circ \]
E) None of these
Correct Answer: B
Solution :
Explanation \[\angle \,CEZ\,=\,\,50{}^\circ \] \[\angle CEZ = \angle AEB = 50{}^\circ \](Vertically opposite angles) and \[\angle \,YAB + \angle BAE = 180{}^\circ \] (Linear pair) \[\angle BAE = 70{}^\circ \] \[\Rightarrow \,\,\operatorname{ABC} = 180{}^\circ - \left( 70{}^\circ + 50{}^\circ \right) = 180{}^\circ - 120{}^\circ = 60{}^\circ .\]You need to login to perform this action.
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