Question

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

Answer 1

The transversal is p.

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.

Answer 2

Line
`m` and line
`o` are parallels.

Line
`n` and line
`p` are transversal to lines
`m` and
`o`

Angle 10 and angle 16 are alternate angles on the line
`p`

Hence, the transversal is line
`p`