A) \[90{}^\circ \]
B) \[85{}^\circ \]
C) \[75{}^\circ \]
D) \[65{}^\circ \]
Correct Answer: D
Solution :
As, \[\angle B+\angle D=180{}^\circ \] and \[\angle A+\angle C=180{}^\circ \] \[x+10+5y+5=180{}^\circ \] \[x+5y=165{}^\circ \] \[2x+4+4y-4=180{}^\circ \] \[2x+4y=180{}^\circ \] Solving, x and y are \[40{}^\circ \] and \[25{}^\circ \] \[x+y=40{}^\circ +25{}^\circ =65{}^\circ \]
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