SSC
Sample Paper
Mock Test-15 SSC CGL Tear-II Paper-1
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
B) 35
C) 40
D) 45
Correct Answer:
A
Solution :
We know that the diagonals of a rhombus bisect each other at right angles. So, \[\angle AOB=90{}^\circ .\] Now, \[\angle OAB+\angle ABO+\angle AOB=180{}^\circ \] \[\Rightarrow \] \[40+x+90=180\] \[\Rightarrow \] \[x=50\]