Adjacent Angle Identification: Analyzing Line Intersection Diagram

Adjacent Angles with Line Intersection Patterns

Does the diagram show an adjacent angle?

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Step-by-step video solution

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00:00 Is there an adjacent angle in the drawing?
00:02 An adjacent angle complements an angle to form a straight angle on a line
00:04 It seems there isn't one in our drawing

Step-by-step written solution

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1

Understand the problem

Does the diagram show an adjacent angle?

3

Final Answer

No

Key Points to Remember

Essential concepts to master this topic
  • Definition: Adjacent angles share a common vertex and side only
  • Technique: Check if angles have exactly one shared ray between them
  • Check: Adjacent angles cannot overlap and must be side-by-side ✓

Common Mistakes

Avoid these frequent errors
  • Thinking any two angles near each other are adjacent
    Don't assume angles are adjacent just because they're close together = wrong identification! Angles can share a vertex but not be adjacent if they don't share exactly one side. Always verify they share one common ray and have no gap or overlap.

Practice Quiz

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If one of two corresponding angles is a right angle, then the other angle will also be a right angle.

FAQ

Everything you need to know about this question

What makes two angles adjacent?

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Two angles are adjacent when they share a common vertex and have exactly one common side (ray). Think of them as neighbors that share a fence but don't overlap!

Can angles that don't touch be adjacent?

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No! Adjacent angles must share a side. If there's a gap between angles, they're not adjacent even if they share the same vertex.

What if two angles overlap?

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Overlapping angles are not adjacent. Adjacent angles sit next to each other without any overlap, like puzzle pieces fitting together.

How do I identify the common ray in a diagram?

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Look for the line or ray that forms one side of both angles. In the diagram, check if there's a single ray that serves as a boundary for both angles you're examining.

Do adjacent angles always form a straight line?

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Not necessarily! Adjacent angles can form any combined angle. When they form a straight line, they're called a linear pair and add up to 180°.

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