Angle Comparison: Determining the Greater Angle in Geometric Pairs

Angle Classification 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 You can see from the drawing 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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1

Understand the problem

Indicates which angle is greater

2

Step-by-step solution

In drawing A, we can see that the angle is an obtuse angle, meaning it is larger than 90 degrees:

While in drawing B, the angle is a right angle, meaning it equals 90 degrees:

Therefore, the larger angle appears in drawing A.

3

Final Answer

Key Points to Remember

Essential concepts to master this topic
  • Classification: Obtuse angles are greater than 90°, right angles equal 90°
  • Comparison: Any obtuse angle > 90° > any right angle = 90°
  • Verification: Check angle opening: wider than square corner means obtuse ✓

Common Mistakes

Avoid these frequent errors
  • Confusing angle types by appearance only
    Don't just guess by looking at how "big" an angle appears = wrong classification! Visual tricks can make obtuse angles look smaller. Always identify if the angle is acute (< 90°), right (= 90°), or obtuse (> 90°) using the square corner test.

Practice Quiz

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Indicates which angle is greater

FAQ

Everything you need to know about this question

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

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Compare it to a square corner (like the corner of a book). If the angle opens wider than a square corner, it's obtuse. If it matches exactly, it's a right angle.

What's the difference between obtuse and acute angles?

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Acute angles are smaller than 90° (sharper than a square corner), while obtuse angles are larger than 90° (wider than a square corner). Right angles are exactly 90°.

Can two obtuse angles be compared to each other?

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Yes! Even though both are obtuse (> 90°), one can still be larger than the other. For example, 120° > 100°, even though both are obtuse angles.

Why does the drawing matter when comparing angles?

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The actual angle measurement is what matters, not how it's drawn. However, clear drawings help you identify the angle type correctly. Always look at the opening between the two rays.

What if I can't tell which angle is bigger by looking?

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Use reference angles! Compare both angles to a right angle (90°) first. Then use other references like 45° 45° or 180° 180° to help estimate and compare.

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