Answer: B.97
Step-by-step explanation:
When two parallel lines are intersected by a transversal line then the sum of adjacent angles is 180°.
From the given figure , BD is parallel to XY and a transversal intersecting it making a pair of adjacent angles 83° and y°.
[tex]83^{\circ}+y^{\circ}=180^{\circ}\\\\\Rightarrow\ y^{\circ}=180^{\circ}-83^{\circ}=97^{\circ}[/tex]
Hence, the value of y= 97.
