Let $z$ be a nonreal complex number such that $|z| = 1.$  Find the real part of $\frac{1}{1 - z}.$
Question:
Let $z$ be a nonreal complex number such that $|z| = 1.$  Find the real part of $\frac{1}{1 - z}.$
Answer:
Let's think step by step.

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\frac{1}{2}
Let $z$ be a nonreal complex number such that $|z| = 1.$  Find the real part of $\frac{1}{1 - z}.$
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