Comparing Angles: Is an Acute Angle Less Than 90 Degrees?

Angle Classification with Size Comparisons

True or false?

An acute angle is smaller than a right angle.

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Step-by-step written solution

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1

Understand the problem

True or false?

An acute angle is smaller than a right angle.

2

Step-by-step solution

The definition of an acute angle is an angle that is smaller than 90 degrees.

Since an angle that equals 90 degrees is a right angle, the statement is true.

3

Final Answer

True

Key Points to Remember

Essential concepts to master this topic
  • Definition: Acute angles measure less than 90 degrees exactly
  • Comparison: Right angle = 90°, so acute < 90° < obtuse
  • Check: Verify angle type: 45° is acute, 90° is right ✓

Common Mistakes

Avoid these frequent errors
  • Confusing acute and right angle definitions
    Don't think acute angles can equal 90 degrees = wrong classification! An angle that measures exactly 90° is called a right angle, not acute. Always remember acute means strictly less than 90 degrees.

Practice Quiz

Test your knowledge with interactive questions

What can be found in the following figure?

FAQ

Everything you need to know about this question

What's the difference between acute and right angles?

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An acute angle measures less than 90 degrees, while a right angle measures exactly 90 degrees. Think of it like this: acute angles are 'sharp' and smaller than the corner of a square!

Can an angle be 89.9 degrees and still be acute?

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Yes! As long as an angle measures less than 90 degrees, it's acute. So 89.9°, 45°, 30°, and even 0.1° are all acute angles.

What comes after acute angles in size?

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The order goes: acute (less than 90°) → right (exactly 90°) → obtuse (between 90° and 180°) → straight (exactly 180°).

How can I remember what acute means?

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Think of the word 'acute' as meaning sharp or pointed. Acute angles look sharp and narrow, like the tip of a pencil - they're smaller than the square corner of a right angle!

Are there any tricks to identify acute angles quickly?

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Yes! Compare the angle to a right angle (like the corner of a book or square). If your angle looks smaller and more pointed than that corner, it's acute!

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