Sets up a system for us to measure angles from zero to 180.
To set up a system for measuring angles from zero to 180 degrees, we can use the most common system known as the degree system
To set up a system for measuring angles from zero to 180 degrees, we can use the most common system known as the degree system. In this system, we divide the 180-degree angle into smaller units called degrees. Here’s how it works:
1. Degree: The degree is the basic unit of measurement for angles. It is denoted by the symbol “°”. One complete revolution (full circle) is divided into 360 degrees. However, in this case, since we are measuring angles from zero to 180, we will only consider the first half of the circle.
2. Zero Degree Angle: The zero-degree angle corresponds to a perfectly straight line. It has no rotation at all. It is denoted as 0°.
3. Right Angle: A right angle measures 90 degrees. It corresponds to a quarter-turn or a 90-degree rotation. It is denoted as 90°.
4. Obtuse Angle: An obtuse angle measures greater than 90 degrees but less than 180 degrees. It corresponds to a rotation between a right angle and a straight line.
5. Acute Angle: An acute angle measures less than 90 degrees. It corresponds to a rotation smaller than a right angle.
6. Reflex Angle: A reflex angle measures greater than 180 degrees but less than 360 degrees. However, since we are only measuring angles up to 180 degrees in this system, reflex angles are not considered.
7. Bisector: A bisector divides an angle into two equal parts. It is a line or ray that cuts an angle exactly in half.
8. Radian: Another unit to measure angles is the radian (rad). It is commonly used in advanced mathematics and physics. One radian is equal to the angle subtended by an arc whose length is equal to the radius of the circle.
Remember that in this system, the measure of any angle falls between 0° and 180°. It’s important to understand and use this system accurately for various mathematical and geometric calculations involving angles.
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