A) \[30{}^\circ \]
B) \[45{}^\circ \]
C) \[60{}^\circ \]
D) \[65{}^\circ \]
Correct Answer: C
Solution :
From figure, \[x{}^\circ =z{}^\circ =50{}^\circ \](alternate interior angles) \[\theta +z{}^\circ =180{}^\circ \](linear pair) \[\theta =180{}^\circ -150{}^\circ =130{}^\circ \] Now, in quadrilateral AQFD, \[x{}^\circ +y{}^\circ +120{}^\circ +\theta =360{}^\circ \] \[\Rightarrow \]\[50{}^\circ +y{}^\circ +120{}^\circ +130{}^\circ =360{}^\circ \] \[\therefore \]\[y=360{}^\circ -300{}^\circ =60{}^\circ \]You need to login to perform this action.
You will be redirected in
3 sec