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According to the condition AB||CD, it means, m∠1=m∠3=m∠5=m∠7. Using this, m∠5=110°

Answer: The measure of angle 5 is [tex]110^{\circ}[/tex].

Explanation:

It is given that the AB || CD and the measure of angle 1 is [tex]110^{\circ}[/tex].

If a transversal line intersect two parallel line then all the corresponding angles are equal.

In the given figure the line AB || CD and one line is intersect them which is transversal line.

According to the property of transversal line,

[tex]\angle 1=\angle 5[/tex]

[tex]110^{\circ}=\angle 5[/tex]

Therefore the measure of angle 5 is  [tex]110^{\circ}[/tex].