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 measuring 30 degrees is an acute angle.
- An angle measuring 60 degrees is an acute angle.
- An angle measuring 89 degrees is also an acute angle.
Visualization:
To visualize an acute angle, imagine a clock. The space between the minute hand and the hour hand when the time is between 12:00 and 3:00 forms an acute angle.Properties:
- Acute angles are always less than 90 degrees.
- The sum of two acute angles is always less than 180 degrees.
- In a right-angled triangle, the two non-right angles are acute angles.
Practice Problems:
1. Find the measure of the acute angle in the following diagram:Answer: The acute angle measures 45 degrees.
2. If angle A measures 30 degrees and angle B measures 55 degrees, are they both acute angles?Answer: Yes, both angles A and B are acute angles as they are less than 90 degrees.
.◂Math Worksheets and Study Guides Sixth Grade. Tables
The resources above cover the following skills:
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