Answer:
[tex]170^{\circ}[/tex]
Step-by-step explanation:
The diagram shows the quadrilateral ABCD (see attached diagram).
Angle ABC has the measure [tex]y^{\circ}[/tex] as vertical angles.
Angle BCD has the measure [tex]80^{\circ}[/tex] as vertical angles.
Angle ADC has the measure [tex]x^{\circ}[/tex] as vertical angles.
The sum of the measures of interior angles in the quadrilateral is always [tex]360^{\circ},[/tex]so
[tex]110^{\circ}+y^{\circ}+80^{\circ}+x^{\circ}=360^{\circ}\\ \\x^{\circ}+y^{\circ}=360^{\circ}-110^{\circ}-80^{\circ}\\ \\x^{\circ}+y^{\circ}=170^{\circ}[/tex]
