Question

in the diagram, which pair of angles are alternate interior angles? 2 and 5 1 and 7 5 and 3

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent angles that lie between two lines and on opposite sides of a transversal.

Step2: Analyze each option

• For \(\angle2\) and \(\angle5\): \(\angle2\) and \(\angle5\) are not between the two non - parallel lines (the two slanted lines) in the sense of alternate interior angles.
• For \(\angle1\) and \(\angle7\): \(\angle1\) and \(\angle7\) do not lie between the two non - parallel lines (the two slanted lines) in the correct alternate interior position.
• For \(\angle5\) and \(\angle3\): \(\angle5\) and \(\angle3\) are non - adjacent, lie between the two non - parallel lines (the two slanted lines) and on opposite sides of the transversal (the horizontal line).
• (Assuming the last option is not relevant as per the given analysis of the first three)

Answer:

\(\angle5\) and \(\angle3\)