Question

1. which pair of angles are always congruent?

∘
∘ complementary angles
∘ supplementary angles
∘ vertical angles
∘ linear pair
clear all

Explanation:

• Complementary angles sum to \(90^\circ\) but can be different (e.g., \(30^\circ\) and \(60^\circ\)), so not always congruent.
• Supplementary angles sum to \(180^\circ\) but can be different (e.g., \(100^\circ\) and \(80^\circ\)), so not always congruent.
• Vertical angles are formed by intersecting lines and are always equal in measure, so they are always congruent.
• A linear pair of angles are supplementary (sum to \(180^\circ\)) but not necessarily congruent (e.g., \(120^\circ\) and \(60^\circ\)).

Answer:

C. Vertical Angles (assuming the options are labeled A to D with C as Vertical Angles; if labels differ, adjust to the correct identifier with "Vertical Angles")