Angular Comparison: Determining the Greater Angle in Geometric Analysis

Angle Measurement with Visual Comparison

Indicates which angle is greater

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Step-by-step video solution

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00:00 Which angle is larger?
00:03 According to the drawing, we can see that the left angle is larger
00:06 And this is the solution to the question

Step-by-step written solution

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Understand the problem

Indicates which angle is greater

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Step-by-step solution

Answer B is correct because the more closed the angle is, the more acute it is (less than 90 degrees), meaning it's smaller.

The more open the angle is, the more obtuse it is (greater than 90 degrees), meaning it's larger.

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Final Answer

Key Points to Remember

Essential concepts to master this topic
  • Rule: Wider angle opening indicates a larger angle measure
  • Technique: Compare angle openings - more spread equals greater degrees
  • Check: Verify by estimating if angle is acute, right, or obtuse ✓

Common Mistakes

Avoid these frequent errors
  • Confusing angle size with line length
    Don't focus on how long the angle's rays are = wrong comparison! Line length doesn't determine angle size - only the opening between rays matters. Always compare how wide the angle opens, not the ray lengths.

Practice Quiz

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Indicates which angle is greater

FAQ

Everything you need to know about this question

How can I tell which angle is bigger just by looking?

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Look at the opening between the two rays! The angle that opens wider (like a mouth opening more) is the larger angle. Think of it like scissors - the more you open them, the bigger the angle.

Does the length of the lines affect the angle size?

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No! Angle size depends only on the rotation between the rays, not their length. You could extend or shorten the lines without changing the angle measurement at all.

What's the difference between acute and obtuse angles?

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Acute angles are less than 90° (narrow opening), while obtuse angles are greater than 90° (wide opening). A right angle is exactly 90° and looks like a square corner.

How do I know if an angle is greater than 90 degrees?

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Compare it to a right angle (square corner). If the angle opens wider than a square corner, it's obtuse (greater than 90°). If it's narrower, it's acute (less than 90°).

Can angles be compared without measuring them exactly?

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Absolutely! Visual comparison is a great skill. Just focus on which angle has the wider opening between its rays - that's always the larger angle, regardless of exact measurements.

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