A) \[90{}^\circ \]
B) \[100{}^\circ \]
C) \[130{}^\circ \]
D) \[45{}^\circ \]
Correct Answer: A
Solution :
\[135{}^\circ +y=180{}^\circ \](by linear pair) \[y=180{}^\circ -135{}^\circ =45{}^\circ \] \[\therefore \]\[\angle x=\angle y=45{}^\circ \] (by Vertically Opposite Angle) \[\therefore \]\[\angle x+\angle y=45{}^\circ +45{}^\circ =90{}^\circ \]
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