A) \[130{}^\circ \]
B) \[170{}^\circ \]
C) \[190{}^\circ \]
D) \[180{}^\circ \]
E) None of these
Correct Answer: A
Solution :
Explanation Extend AB and YC as shown so that they meet in P. In \[\Delta \,BCP\] \[\begin{align} & \angle \,BCP = 180{}^\circ - 120{}^\circ = 60{}^\circ \,\,\,\,\,(\therefore \,\,PCY\,\,is\,\,a\,\,straight\,\,line) \\ & \angle \\ \end{align}\]\[\angle \,BPC=180{}^\circ -110{}^\circ =70{}^\circ \] (\[\therefore \text{ }\,\,\angle \,BAX\text{ }and\text{ }\angle BPY\] are the interior angles of two parallel lines AX and CY) \[\therefore \,\,\,x = \angle BCP + \angle BPC = 60{}^\circ + 70{}^\circ = 130{}^\circ \]You need to login to perform this action.
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