Respuesta :

Part (a)

[tex]x=106^{\circ}[/tex] because the central angle subtended in an arc is twice the size of the angle inscribed in the same arc

Part (b)

[tex]y=180^{\circ}-53^{\circ}=\boxed{127^{\circ}}[/tex] because opposite angles of a cyclic quadrilateral are supplementary.