Question

1. from the image on the left: classify the pair of angles.

∠4 and ∠5
alternate exterior
alternate interior
same - side interior
corresponding
vertical

Explanation:

• Alternate exterior angles are non - adjacent angles that lie outside the two lines and on opposite sides of the transversal.
• Alternate interior angles are non - adjacent angles that lie inside the two lines and on opposite sides of the transversal.
• Same - side interior angles are angles that lie inside the two lines and on the same side of the transversal.
• Corresponding angles are in the same relative position with respect to the two lines and the transversal.
• Vertical angles are opposite angles formed by the intersection of two lines.

For \(\angle4\) and \(\angle5\):

• They are non - adjacent.
• \(\angle4\) is above the upper line and \(\angle5\) is below the lower line (exterior to the two parallel - looking lines).
• They are on opposite sides of the transversal.

Answer:

alternate exterior