SSC
Sample Paper
Mock Test-15 SSC CGL Tear-II Paper-1
question_answer
In the adjoining figure, ABCD is a rhombus. If \[\angle A=70{}^\circ ,\] then \[\angle CDB\]is equal to
A) \[65{}^\circ \]
B) \[55{}^\circ \]
C) \[35{}^\circ \]
D) \[45{}^\circ \]
Correct Answer:
B
Solution :
Let \[\angle CDB=x{}^\circ \] Then, \[CD=CB\]\[\Rightarrow \]\[\angle CBD=\angle CDB=x{}^\circ \] \[\angle BCD=\angle BAD=70{}^\circ \] (opposite angles of a rhombus) \[\therefore \]\[x+x+70=180\] (sum of the angles of a triangle is \[180{}^\circ \]) \[\Rightarrow \] \[2x=110\]\[\Rightarrow \]\[x=55\] \[\angle CDB=55{}^\circ .\]