Question

1. look at the examples and nonexamples below to define the term \adjacent angles.\

Explanation:

1. Analyze examples: In examples, angles share a common vertex and a common side, with no overlapping interiors.
2. Analyze nonexamples: Nonexamples either lack a common side (like vertical angles) or have non - shared sides/overlapping (like the ones with multiple rays not sharing a side properly).
3. Synthesize definition: Adjacent angles are two angles that share a common vertex, share a common side, and have no overlapping interior regions (their non - common sides lie on opposite sides of the common side).

Answer:

Adjacent angles are two angles that share a common vertex, share a common side, and have their non - common sides on opposite sides of the common side (with no overlapping interior).