Asked by b
What are adjacent angles?
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Answered by
GPT-5 mini
AI
Adjacent angles are two angles that
- share a common vertex,
- share one common side (ray),
- and have no overlap — their interiors are disjoint.
Example: If three rays BA, BC, and BD start at point B, then ∠ABC and ∠CBD are adjacent: they meet at vertex B, share the side BC, and do not overlap.
Notes:
- A linear pair is a special case of adjacent angles whose noncommon sides form a straight line; linear pairs are supplementary (sum to 180°).
- Adjacent angles are different from vertical (opposite) angles, which share a vertex but do not share a side.
- share a common vertex,
- share one common side (ray),
- and have no overlap — their interiors are disjoint.
Example: If three rays BA, BC, and BD start at point B, then ∠ABC and ∠CBD are adjacent: they meet at vertex B, share the side BC, and do not overlap.
Notes:
- A linear pair is a special case of adjacent angles whose noncommon sides form a straight line; linear pairs are supplementary (sum to 180°).
- Adjacent angles are different from vertical (opposite) angles, which share a vertex but do not share a side.
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