Adjacent Angles: Identifying Geometric Intersections in Given Figure

Adjacent Angles with Visual Diagram Analysis

Does the drawing show an adjacent angle?

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1

Understand the problem

Does the drawing show an adjacent angle?

2

Step-by-step solution

Adjacent angles are angles whose sum together is 180 degrees.

In the attached drawing, it is evident that there is no angle of 180 degrees, and no pair of angles can create such a situation.

Therefore, in the drawing there are no adjacent angles.

3

Final Answer

Not true

Key Points to Remember

Essential concepts to master this topic
  • Definition: Adjacent angles share a common vertex and side
  • Method: Check if two angles form a straight line totaling 180° 180°
  • Verification: Look for angles that share vertex and side without overlap ✓

Common Mistakes

Avoid these frequent errors
  • Confusing adjacent angles with supplementary angles
    Don't assume all angles at intersection are adjacent = wrong identification! Adjacent angles must share a vertex AND side, while supplementary angles just add to 180°. Always check if angles share exactly one common side.

Practice Quiz

Test your knowledge with interactive questions

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's the difference between adjacent and supplementary angles?

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Adjacent angles share a vertex and one side without overlapping. Supplementary angles add up to 180° 180° but don't need to be next to each other.

Do adjacent angles always add up to 180 degrees?

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Not always! Adjacent angles only add to 180° 180° when they form a straight line. Two adjacent angles can add to any amount depending on their position.

How can I identify adjacent angles in a diagram?

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Look for angles that:

  • Share the same vertex point
  • Have exactly one side in common
  • Don't overlap each other

Can three angles be adjacent to each other?

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Yes! Multiple angles can be adjacent if each pair shares a vertex and side. Think of a pie cut into slices - each slice is adjacent to its neighbors.

Why doesn't this diagram show adjacent angles?

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Looking at the three rays from the central point, no two angles share just one common side while forming a straight line. The angles don't meet the definition of adjacent angles.

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