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Acute Obtuse and Right Angles

November 10, 2011
by
Khan Academy
YouTube video player
Acute Obtuse and Right Angles

TL;DR

The content explains how to identify acute angles (less than 90 degrees), right angles (90 degrees), and obtuse angles (more than 90 degrees and less than 180 degrees) in an image.

Transcript

identify all acute obtuse and right angles in the image below so let's just remind ourselves what an what an acute uptooth or right angle is an acute angle is an angle that is less than 90 degrees and i'll write it right over right under the word acute a right angle a right angle is an angle that is equal to 90 degrees or whose measure is equal to ... Read More

Key Insights

  • 🔺 Acute angles are less than 90 degrees, right angles are exactly 90 degrees, and obtuse angles are more than 90 degrees but less than 180 degrees.
  • 🔺 In the provided image, there are two right angles: angle QAR and angle QAT.
  • 🔺 The acute angles in the image are angle QAP, angle PAT, and angle RAS.
  • 🔺 The obtuse angle in the image is angle SAQ.
  • 🔺 Acute angles are part of a larger 90-degree angle, while obtuse angles contain a 90-degree angle and open up wider.
  • 🔺 Straight angles, measuring 180 degrees, are not considered obtuse angles.
  • 🪜 Adjacent angles in the image, such as QAR and QAT, are supplementary as they add up to 180 degrees.

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Questions & Answers

Q: How can we identify acute angles in the image?

Acute angles in the image can be identified by looking at angles that are part of a larger 90-degree angle, such as angle QAP and angle PAT. These angles must be less than 90 degrees.

Q: What are the right angles in the image?

The image contains two right angles: angle QAR and angle QAT. These angles measure exactly 90 degrees and can also be referred to as angle RAQ and angle TAR.

Q: How can we identify obtuse angles in the image?

Obtuse angles in the image can be identified by looking for angles that contain a 90-degree angle and open up even wider, such as angle SAQ. These angles are greater than 90 degrees but less than 180 degrees.

Q: What is the difference between a straight angle and an obtuse angle?

A straight angle is exactly 180 degrees and forms a straight line. In the image, angle SAP is a straight angle. An obtuse angle, on the other hand, is greater than 90 degrees but less than 180 degrees and does not form a straight line.

Summary & Key Takeaways

  • Acute angles are less than 90 degrees, right angles are exactly 90 degrees, and obtuse angles are more than 90 degrees but less than 180 degrees.

  • In the image provided, there are two right angles: angle QAR and angle QAT.

  • The acute angles in the image are angle QAP, angle PAT, and angle RAS. The obtuse angle is angle SAQ.


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