Railways
Sample Paper
RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-33
question_answer
In the adjoining figure, ABCD is a rhombus whose diagonals intersect at O. If\[\angle OAB\,\,40{}^\circ \] and \[\angle ABO\,\,x{}^\circ ,\]then x is equal to
A) \[50{}^\circ \]
B) \[35{}^\circ \]
C) \[40{}^\circ \]
D) \[45{}^\circ \]
Correct Answer:
A
Solution :
We know that, the diagonals of a rhombus bisect each other at right angles. So, \[\angle AOB=90{}^\circ \] Now, \[\angle OAB+\angle ABO+\angle AOB=180{}^\circ \] \[\Rightarrow \]\[40{}^\circ +x+90{}^\circ =180{}^\circ \Rightarrow x=50{}^\circ \]