Question

Can someone give me the answer please im confused

Answer 1

Answer:

$170^{\circ}$

Step-by-step explanation:

The diagram shows the quadrilateral ABCD (see attached diagram).

Angle ABC has the measure $y^{\circ}$ as vertical angles.

Angle BCD has the measure $80^{\circ}$ as vertical angles.

Angle ADC has the measure $x^{\circ}$ as vertical angles.

The sum of the measures of interior angles in the quadrilateral is always $360^{\circ},$so

$110^{\circ}+y^{\circ}+80^{\circ}+x^{\circ}=360^{\circ}\\ \\x^{\circ}+y^{\circ}=360^{\circ}-110^{\circ}-80^{\circ}\\ \\x^{\circ}+y^{\circ}=170^{\circ}$