delilah1717
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The fence uses vertical posts I, m, and o to hold parallel rails n and p <10 and <16 are alternate interior angles. Name the transversal

The fence uses vertical posts I m and o to hold parallel rails n and p lt10 and lt16 are alternate interior angles Name the transversal class=

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merlynthewhizz
Line [tex]m[/tex] and line [tex]o[/tex] are parallels.

Line [tex]n[/tex] and line [tex]p[/tex] are transversal to lines [tex]m[/tex] and [tex]o[/tex]

Angle 10 and angle 16 are alternate angles on the line [tex]p[/tex]

Hence, the transversal is line [tex]p[/tex]

Answer:

The transversal is p.

Step-by-step explanation:

Since, according to the Alternate Interior Angles theorem, if two parallel lines are cut by a same transversal, then the pairs of alternate interior angles made by the same transversal are congruent.

Also, the reverse is also true.

By the given diagram,

lines m and o are parallel,

Also, ∠10 and ∠16 are the alternative interior angles made by a line p on lines m and o,

Thus, p must be the transversal.

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