What are the definitions and properties of acute, right, obtuse, complementary, supplementary angles, and what is meant by linear pairs and adjacent angles?
Understand the Problem
The question is asking for definitions and explanations related to different types of angles and their properties, such as acute, right, obtuse, complementary, supplementary angles, and concepts like linear pairs and adjacent angles.
Answer
Acute (<90°), Right (90°), Obtuse (>90°), Complementary (sum 90°), Supplementary (sum 180°), Linear Pair (adjacent, sum 180°), Adjacent Angles (share a vertex and side).
Acute angles are less than 90°, right angles are exactly 90°, and obtuse angles are more than 90° but less than 180°. Complementary angles add to 90°, while supplementary angles add to 180°. Linear pairs are adjacent angles that add to 180°, and adjacent angles share a vertex and a side.
Answer for screen readers
Acute angles are less than 90°, right angles are exactly 90°, and obtuse angles are more than 90° but less than 180°. Complementary angles add to 90°, while supplementary angles add to 180°. Linear pairs are adjacent angles that add to 180°, and adjacent angles share a vertex and a side.
More Information
Acute, right, and obtuse angles are basic types of angles used to classify triangles and other geometric figures. Understanding complementary and supplementary angles is crucial in solving many geometry problems.
Tips
A common mistake is confusing complementary with supplementary angles. Remember: 'C' for complementary (90°) and 'S' for supplementary (180°).
Sources
- Types of Angles - BYJU'S - byjus.com
- Types of Angles - SplashLearn - splashlearn.com
- Types of Angles and Angle Relationships - GeeksforGeeks - geeksforgeeks.org
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