Question

1. are ∠5 and ∠9 a linear pair, vertical angles, or neither?

a. linear pair
b. vertical angles
c. neither

1. are ∠5 and ∠8 a linear pair, vertical angles, or neither?

a. linear pair
b. vertical angles
c. neither

1. is the statement sometimes, always, or never true?

Explanation:

Question 6

A linear pair of angles are adjacent angles that form a straight line (sum to \(180^\circ\)) and share a common side. Vertical angles are opposite angles formed by intersecting lines. \(\angle 5\) and \(\angle 9\) are adjacent, share a common side, and form a straight line (they are supplementary, sum to \(180^\circ\)), so they are a linear pair.

Linear pairs are adjacent and supplementary; vertical angles are opposite. \(\angle 5\) and \(\angle 8\) are not adjacent (no common side) and not opposite (not formed by intersecting lines in a vertical - angle - forming way), so they are neither.

Answer:

A. linear pair

Question 7