Angle EBC Identification: Finding the Marked Angle in Multiple Figures

Angle Notation with Visual Identification

In which of the figures is the angle EBC marked?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Mark angle EBC
00:02 The angle is between sides E,C at point B
00:05 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

In which of the figures is the angle EBC marked?

2

Step-by-step solution

We will look for the diagram where the colored angle is angle B since it is the middle one. We can see that in answer A, angle B is the colored one, and therefore this is the correct answer.

3

Final Answer

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Key Points to Remember

Essential concepts to master this topic
  • Angle Naming: Three letters with vertex in the middle (E-B-C)
  • Visual Check: Look for angle marking at point B between rays BE and BC
  • Verification: Confirm vertex B connects rays to points E and C ✓

Common Mistakes

Avoid these frequent errors
  • Confusing angle vertex with other points
    Don't assume the first or last letter is the vertex = wrong angle identification! The middle letter in angle notation is ALWAYS the vertex where the two rays meet. Always check that B is the vertex point where rays from E and C intersect.

Practice Quiz

Test your knowledge with interactive questions

a is parallel to b.

Calculate the angles shown in the diagram.

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FAQ

Everything you need to know about this question

How do I know which letter is the vertex in angle EBC?

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The middle letter is always the vertex! In angle EBC, point B is the vertex where the two rays meet. The other letters (E and C) are points on the rays extending from B.

What should I look for in the diagram to find angle EBC?

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Look for the angle marking (usually a curved line or shaded area) at point B. The angle should be formed by ray BE and ray BC meeting at vertex B.

Can angle EBC be written differently?

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Yes! You can also write it as angle CBE since you can list the rays in either order. But the vertex (B) must always stay in the middle position.

What if I see multiple angles at point B?

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Look carefully at the specific angle marking in the diagram. Point B might be part of several angles, but only one will have the marking that shows it's the angle EBC you're looking for.

How is this different from just naming point B?

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Point B is just a location, but angle EBC is the space between two rays! You need to identify where rays BE and BC form the marked angle at vertex B.

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