Big Book-Test 1-Section 3-Ques 14

Pls help with this question

As stated in question that Angle AOC is right angle, so line OB divides it in two separate angles that are angle AOB 44 degrees and angle BOD 46 degrees. Now come to angle ODB which must
be right angle because of angle BDC: Angle of straight line is always 180 degrees. Now we have two angle measures of triangle BOD, as we know that sum of internal angles of a triangle is 180 degrees, so we have one angle measure of 46 and second is 90. Now 46+90+x=180, x=44, so angle OBD is 44 degrees. Now we can tell that which side is greater by looking at opposite angle to that side. 90>46>44 i.e; OB>BD>OD. So side BD is greater. Answer is B.
TI S3 Q14