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Chapter 4: Problem 102

What determines the size of an angle?

Short Answer

Expert verified
The size of an angle is determined by the amount of rotation, or the 'turn' between the two rays or sides forming the angle, measured in degrees. It is not influenced by the length of the rays.

Step by step solution

01

Definition of an Angle

An angle is formed by two rays (or lines) with a common endpoint, called the vertex. When you 'open' or 'close' these two rays, you are changing the size of the angle.
02

Measure of an Angle

The size of an angle is measured in degrees, with a full rotation around a point being 360 degrees. The further apart the rays or sides of an angle, the larger the degree measure and thus the bigger the angle.
03

Factors Influencing the Size of an Angle

The size of an angle is determined by the amount of rotation from one ray to the other. It's not influenced by the length of the rays; short or long rays can make the exact same angle. Thus, it is the amount of 'turn' or 'opening' between the rays that determines the size of the angle.

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