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Q.

 In the figure given below, ABCD is a rhombus such that ∠OAB=35°  . Then find the value of y.


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a

35°

b

110°

c

65°

d

45° 

answer is B.

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Detailed Solution

Given is the rhombus ABCD such that ∠OAB=35°  .
We know that diagonals of a rectangle are congruent and bisect each other.
Therefore, in ΔAOB  ,
 OA = OB.
Here, ΔAOB   is an isosceles triangle and therefore base angles will be equal. ∠OAB = ∠OBA  =  35 °  
Now, in ΔAOB  ,
Question ImageIn the rhombus, ∠AOB   and y are vertically opposite angles.
Hence, ∠AOB=y  .
So, the value of y is 110°.
Option 2 is the correct choice.
 
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