Angle Degrees

Angle Degrees

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I hear degrees all the time. What are degrees when we are talking about angles?
Degrees are a unit of measurement, like inches or pounds.
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Degrees measure rotation or turn of an angle in reference to a full circle.
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EXAMPLE
A sailor looks straight ahead through a spyglass at another ship. There is no turn, so he is looking at an angle of 0 degrees.
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45
EXAMPLE
Then he gets distracted by a bird and looks up. His head has turned upwards. Now he is looking at an angle of 45 degrees.
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In a full circle, there are 360 degrees. Each degree is 1/360 of a full circle.
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Some think that 360 was chosen for the number of degrees in a circle because it is close to the number of days in a year.
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The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360
360 also has many factors, so a circle can be divided into equal parts easily.
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180
120
90
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Each circle has been divided into equal parts. The angle measurement of each part is outside each circle.

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