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saw5 [17]
3 years ago
12

Can someone give me the answer please im confused

Mathematics
1 answer:
netineya [11]3 years ago
3 0

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}

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