So here, ABCD is being inscribed in a circle, so ABCD is a cyclic quadrilateral (as inscribed in a circle) also, there exists a property of cyclic quadrilateral, i.e, the sum of opposite angles of a cyclic quadrilateral is 180°, so we can just write the following equation using this :
[tex]{:\implies \quad \sf y^{\circ}+83^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf y^{\circ}=180^{\circ}-83^{\circ}}[/tex]
[tex]{:\implies \quad \sf y^{\circ}=97^{\circ}}[/tex]
[tex]{:\implies \quad \boxed{\bf{y=97}}}[/tex]
