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Acute angle

Definition

An acute angle is an angle that measures less than 90 degrees. It is one of the basic classifications of angles in geometry.

5 Must Know Facts For Your Next Test

  1. An acute angle can range from greater than 0 degrees to less than 90 degrees.
  2. When two acute angles are adjacent, their sum can still be less than or equal to 90 degrees, making another acute or a right angle.
  3. Acute angles are often found in various geometric shapes, such as triangles and polygons.
  4. A triangle with all three angles being acute is called an acute triangle.
  5. In trigonometry, sine and cosine values for acute angles are always positive.

Review Questions

  • What is the range of measurements for an acute angle?
  • Can two adjacent acute angles form a right angle?
  • What type of triangle has all three angles as acute?

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Related terms

RightAngle: An angle that measures exactly 90 degrees.

ObtuseAngle: An angle that measures more than 90 degrees but less than 180 degrees.

ComplementaryAngles: Two angles whose measures add up to exactly 90 degrees.



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ยฉ 2024 Fiveable Inc. All rights reserved.

APยฎ and SATยฎ are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.