How Do Parallel Line Proofs Determine Interior Angles in a Triangle?

msimard8
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I need to prove that <acb is equal to one of the other interior angles of triangle abc.

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What do you know about the size of an exterior angle relative to the size of the other two angles in the interior?
If CZ, the bisector of that angle, is parallel to AB, what does that tell you about angles BAC and ACZ?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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