Question

1. which is the best description of adjacent angles?

f. two angles that share a common side and a common vertex
g. two angles whose sum is 90°
h. two angles whose sum is 180°
j. two angles that are congruent with each other

Explanation:

To determine the best description of adjacent angles, we analyze each option:

• Option F: Adjacent angles are defined as two angles that share a common side and a common vertex (and their non - common sides are on opposite sides of the common side). This matches the definition of adjacent angles.
• Option G: Two angles whose sum is \(90^{\circ}\) are called complementary angles, not adjacent angles.
• Option H: Two angles whose sum is \(180^{\circ}\) are called supplementary angles, not adjacent angles.
• Option J: Two congruent angles just have the same measure, this has nothing to do with the definition of adjacent angles.

Answer:

F. Two angles that share a common side and a common vertex