In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠1=110°.
what is m>5?
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Try this solution:
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].