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
00:00 Determine the type of angle
00:03 Draw the perpendicular to the segment
00:06 Observe that the angle is greater than 90 degrees
00:09 Therefore the angle is an obtuse angle (greater than 90 degrees)
00:13 This is the solution

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

Is the straight line in the figure the height of the triangle?

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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