Question

the fence uses vertical posts l, m, and o to hold parallel rails n and p. ∠10 and ∠16 are alternate interior angles. name the transversal.
a. o
b. n
c. m
d. p

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are formed when a transversal intersects two parallel lines. The angles are between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze the given angles ∠10 and ∠16

We know that rails \(n\) and \(p\) are parallel. For ∠10 and ∠16 to be alternate interior angles, the line that intersects them (the transversal) must be the one that cuts through the two parallel lines \(n\) and \(p\). Looking at the figure, line \(m\) is the transversal that intersects parallel lines \(n\) and \(p\) and creates the pair of angles ∠10 and ∠16 which are between \(n\) and \(p\) and on opposite sides of \(m\).

Answer:

C. \(m\)