Angle Classification: Identify the Angle Type from Geometric Diagram

Adjacent Angles with Intersecting Lines

Identify the angle shown in the figure below?

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Step-by-step written solution

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1

Understand the problem

Identify the angle shown in the figure below?

2

Step-by-step solution

Remember that adjacent angles are angles that are formed when two lines intersect one another.

These angles are created at the point of intersection, one adjacent to the other, and that's where their name comes from.

Adjacent angles always complement one another to one hundred and eighty degrees, meaning their sum is 180 degrees.

3

Final Answer

Adjacent

Key Points to Remember

Essential concepts to master this topic
  • Definition: Adjacent angles share a vertex and side between them
  • Recognition: Look for angles touching at intersection point of two lines
  • Check: Adjacent angles always add up to 180 degrees ✓

Common Mistakes

Avoid these frequent errors
  • Confusing adjacent with vertical angles
    Don't identify angles across from each other as adjacent = wrong angle type! Vertical angles are opposite each other, not next to each other. Always look for angles that share a common side and vertex.

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

How do I tell the difference between adjacent and vertical angles?

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Adjacent angles are next to each other and share a side. Vertical angles are across from each other when two lines cross. Think of adjacent as 'neighbors' touching each other!

Do adjacent angles always add up to 180 degrees?

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Yes! When two lines intersect, adjacent angles are supplementary, meaning they always add up to 180° 180° . This is because they form a straight line together.

What's the difference between adjacent and corresponding angles?

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Adjacent angles occur at the same intersection point. Corresponding angles occur when a line crosses two parallel lines, creating angles in the same relative position at different intersections.

Can I have adjacent angles that aren't supplementary?

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Only when two lines intersect! In that case, adjacent angles are always supplementary. But if you have angles formed by rays or in other geometric shapes, adjacent angles might not add to 180° 180° .

How do I identify the vertex of adjacent angles?

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The vertex is the point where the two lines cross. All adjacent angles at that intersection share this same vertex point - it's like the center hub where everything meets!

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