Study Guide: Acute Angles
Definition:
An acute angle is an angle that measures greater than 0 degrees and less than 90 degrees.
Examples:
- An angle of 30 degrees is an acute angle.
- An angle of 60 degrees is an acute angle.
- An angle of 89 degrees is also an acute angle.
How to Identify:
To identify an acute angle, simply measure the angle using a protractor. If the angle measures between 0 and 90 degrees, it is an acute angle.
Real-Life Examples:
Acute angles can be found in various real-life situations, such as the hands of a clock at 3 o'clock, the corner of a book, or the roof of a house.
Properties:
- Acute angles are always less than 90 degrees.
- The sum of two acute angles is always less than 180 degrees.
Practice Problems:
- Identify whether the following angles are acute or not:
- 45 degrees
- 120 degrees
- 80 degrees
- Find the measures of two acute angles that add up to 100 degrees.
[Acute Angle] Related Worksheets and Study Guides:
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Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyVocabulary/Answer keyThe resources above cover the following skills:
Geometry (NCTM)
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.
Specify locations and describe spatial relationships using coordinate geometry and other representational systems.
Describe location and movement using common language and geometric vocabulary.
Make and use coordinate systems to specify locations and to describe paths.
Connections to the Grade 5 Focal Points (NCTM)
Data Analysis: Students apply their understanding of whole numbers, fractions, and decimals as they construct and analyze double-bar and line graphs and use ordered pairs on coordinate grids.