Angle Classification: Determine if the Given Angle is Acute, Right, or Obtuse

Visual Angle Classification with Geometric Diagrams

Determine the type of angle given.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:02 Let's first identify the angle type.
00:06 Draw a line at a right angle to the segment.
00:09 Look closely; the angle is more than ninety degrees.
00:13 So, this angle is called an obtuse angle, meaning it's over ninety degrees.
00:18 Great job! And that's how we solve this problem.

Step-by-step written solution

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1

Understand the problem

Determine the type of angle given.

2

Step-by-step solution

To solve this problem, we'll examine the image presented for the angle type:

  • Step 1: Identify the angle based on the visual input provided in the graphical representation.
  • Step 2: Classify it using the standard angle types: acute, obtuse, or straight based on their definitions.
  • Step 3: Select the appropriate choice based on this classification.

Now, let's apply these steps:

Step 1: Analyzing the provided diagram, observe that there is an angle formed among the segments.

Step 2: The angle is depicted with a measure that appears greater than a right angle (greater than 9090^\circ). It is wider than an acute angle.

Step 3: Given the definition of an obtuse angle (greater than 9090^\circ but less than 180180^\circ), the graphic clearly shows an obtuse angle.

Therefore, the solution to the problem is Obtuse.

3

Final Answer

Obtuse

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare angle opening to 90° reference for classification
  • Technique: Obtuse angles open wider than a right angle corner
  • Check: Verify angle appears greater than 90° but less than 180° ✓

Common Mistakes

Avoid these frequent errors
  • Confusing acute and obtuse angle definitions
    Don't think acute means 'larger' because it sounds sharper = backwards classification! Acute actually means small/sharp angles under 90°. Always remember obtuse angles are the 'big' wide ones over 90°.

Practice Quiz

Test your knowledge with interactive questions

True or false:

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FAQ

Everything you need to know about this question

How can I tell if an angle is obtuse just by looking?

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Look for angles that open wider than a corner of a square or rectangle. If the angle looks 'stretched out' beyond 90°, it's obtuse!

What's the difference between obtuse and straight angles?

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An obtuse angle is between 90° and 180°, while a straight angle is exactly 180° (forms a straight line). Obtuse angles still have a 'bend' in them.

Why isn't this angle acute if it looks sharp?

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Don't confuse 'sharp-looking' with acute! Acute angles are narrow (less than 90°), like the corner of a slice of pizza. This angle opens much wider than that.

Can I use a protractor to check my answer?

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Absolutely! Measure the angle with a protractor. If it reads between 90° and 180°, you've confirmed it's obtuse.

What if the angle looks close to 90 degrees?

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Look carefully at the angle marking or arc. If it's slightly wider than a perfect corner (90°), it's obtuse. When in doubt, compare it to a known right angle.

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