Adjacent Angles: Analyzing Line Segment Diagram for Angle Properties

Adjacent Angles with Line Identification

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?
00:03 There is only one straight angle in the drawing
00:06 It seems there are no adjacent angles in our drawing

Step-by-step written solution

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1

Understand the problem

Does the diagram show an adjacent angle?

2

Step-by-step solution

To determine whether the diagram shows adjacent angles, we need to confirm the presence of two properties:
1. Two angles must share a common vertex.
2. These angles must have a common arm and should not overlap.

Based on the given representation, the provided diagram consists solely of a single line. There are no visible intersecting lines or vertices from which angles can originate. Without intersection, there cannot be distinct angles, and thereby no adjacent angles can be identified.

Therefore, the diagram lacks the necessary properties to demonstrate adjacent angles. Hence, the correct choice is No.

3

Final Answer

No

Key Points to Remember

Essential concepts to master this topic
  • Definition: Adjacent angles share a vertex and side without overlapping
  • Requirement: Need two intersecting lines to form angles at vertex
  • Check: Count distinct angles and verify they meet adjacency criteria ✓

Common Mistakes

Avoid these frequent errors
  • Assuming any line contains adjacent angles
    Don't think a single line shows adjacent angles = no angles exist! A line by itself has no vertex or intersection points where angles form. Always look for intersecting lines or rays that create distinct angles sharing a common vertex.

Practice Quiz

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Does the drawing show an adjacent angle?

FAQ

Everything you need to know about this question

What exactly makes angles adjacent?

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Adjacent angles must have two key features: they share a common vertex (meeting point) and a common side (shared ray), but they cannot overlap each other.

Can a single line show adjacent angles?

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No! A single line cannot form angles by itself. You need at least two lines intersecting or rays meeting at a point to create angles.

How many lines do I need to see adjacent angles?

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You need at least three rays meeting at one point, or two intersecting lines. This creates the angles that can be adjacent to each other.

What should I look for in angle diagrams?

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  • Find the vertex (where lines meet)
  • Count the distinct angles formed
  • Check if any two angles share a side without overlapping

Why doesn't this diagram show adjacent angles?

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This diagram shows only one straight line. Without intersecting lines or multiple rays, there are no angles formed at all, so there cannot be adjacent angles.

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