Question

use the proof information and image below to match each statement to the correct reason. 10. statement 3: as shown in the diagram, \\( \angle 6 \\) and \\( \angle 7 \\) are a _ pair. a. complementary b. vertical c. linear

Explanation:

• Complementary angles add up to \(90^{\circ}\). There is no indication \(\angle6\) and \(\angle7\) add to \(90^{\circ}\).
• Vertical angles are opposite angles formed by two intersecting lines. \(\angle6\) and \(\angle7\) are not opposite each other.
• A linear pair of angles is formed when two adjacent angles form a straight line (sum to \(180^{\circ}\)). \(\angle6\) and \(\angle7\) are adjacent and form a straight - line intersection in the diagram.

Answer:

C. linear