If the vertices of a quadrilateral $ABCD$ lie on a circle such that $\angle A = 60^\circ$ and $\angle B = 80^\circ$, find the measures of $\angle C$ and $\angle D$.
Options:
- A: 120° and 100°
- B: 100° and 120°
- C: 110° and 70°
- D: 90° and 90°
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