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How many degrees are in an angle that turns through half of a circle?

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Consider the following diagram,

The above figure depicts the initial line segment OA, which turns through half of a circle.

Theorem: The angle corresponding to a straight line is 180 degrees.

Observe that due to this turn through half of a circle forms a straight line AB.

Therefore, the theorem suggests that the angle AOB will be 180 degrees.

Thus, there are 180 degrees in an angle that turns through half of a circle.

How many degrees are in an angle that turns through half of a circle?-example-1
User Todd Pierce
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