Equal Angles = Equal Sides?

Geometry Level 3

True or False?

  1. A cyclic \( \color{blue}\text{pentagon} \) has equal angles if and only if it has equal sides.
  2. A cyclic \( \color{green} \text{hexagon} \) has equal angles if and only if it has equal sides.

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Note: A cyclic polygon is a polygon that can be inscribed in a circle. A cyclic pentagon and a cyclic hexagon are shown below.

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