Question

answer the following questions. 1) choose the best answer. which is the best definition for adjacent angles? two nonadjacent angles formed by two intersecting lines two angles in which the sum of their measures equals 90° two angles that share a common vertex and one common side but have no two angles in which the sum of their measures equals 180°

Explanation:

To determine the best definition for adjacent angles, we analyze each option:

• Option 1: "Two nonadjacent angles formed by two intersecting lines" describes vertical angles, not adjacent angles.
• Option 2: "Two angles in which the sum of their measures equals \(90^\circ\)" defines complementary angles.
• Option 3: "Two angles that share a common vertex and one common side but have no common interior points" matches the definition of adjacent angles.
• Option 4: "Two angles in which the sum of their measures equals \(180^\circ\)" defines supplementary angles.

Answer:

The correct option is the third one (the option with the text "two angles that share a common vertex and one common side but have no common interior points").