Answer :

Final answer:

It is possible to trisect some angles with a compass and straightedge.


Explanation:

False

It is possible to trisect some angles using only a compass and straightedge. For example, the angle of 60 degrees can be trisected by constructing an equilateral triangle.

Angles like 20 degrees cannot be trisected with only a compass and straightedge due to geometric constraints.


Learn more about Angle Trisection here:

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Answer:

  A. True

Step-by-step explanation:

You want to know if it is true that not every angle can be trisected using only a compass and straightedge.

Trisection

Pierre Wantzel proved in 1837 that it is not possible to trisect every angle using only a compass and straightedge.

Some angles can be trisected, and others cannot be. Some that can be trisected cannot be constructed using a compass and straightedge.

There are methods for trisecting an angle if a marked straightedge can be used.

The offered statement is True, choice A.

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