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The angles of the square base are 90 degrees, just as you'd expect, but from there we have to "get funky" just a bit to understand the answer because it varies.

As we "flatten" the pyramid, the angles between the plane of the base and the sides approach zero degrees, and as we "stretch" the pyramid to infinity, the angles approach 90 degrees. The angles we are talking about have a range with limits on either end, but the angle, whatever it is, cannot be the limit itself. We say the angle is greater than zero or less than 90 degrees.

The angle of the vertex will vary as well, and it will depend on the angle between the base and the ascending edge. It will vary between 90 degrees (in the case of the "flattened" pyramid) and zero degrees (in the case of the "stretched" pyramid). That is as good an answer as we can come up with given the general nature of the question.

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What is the base of a square pyramid?

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How many degrees in a square pyramid?

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How many right angles does a square base pyramid have?

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What is the base of a pyramid in geometry?

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