Question

answer the following questions. 1) choose the best answer. which is the best definition for adjacent angles? two angles that share a common vertex and one common side but have no common interior points two angles in which the sum of their measures equals 180° two nonadjacent angles formed by two intersecting lines two angles in which the sum of their measures equals 90° 2) choose the best answer. which is the best definition for complementary angles? two angles in which the sum of their measures equals 180° two angles in which the sum of their measures equals 90° pair of adjacent angles whose noncommon sides are two opposite rays that form a straight line two angles that share a common vertex and one common side but have no common interior points

Explanation:

Question 1

• Analyze each option:
• Option 1: Matches the definition of adjacent angles (share vertex, common side, no common interior points).
• Option 2: Defines supplementary angles (sum to \(180^\circ\)).
• Option 3: Defines vertical angles (formed by intersecting lines, non - adjacent).
• Option 4: Defines complementary angles (sum to \(90^\circ\)).

• Analyze each option:
• Option 1: Defines supplementary angles (sum to \(180^\circ\)).
• Option 2: Matches the definition of complementary angles (sum of measures is \(90^\circ\)).
• Option 3: Defines a linear pair (adjacent angles forming a straight line).
• Option 4: Defines adjacent angles.

Answer:

A. two angles that share a common vertex and one common side but have no common interior points

Question 2