Challenge Problem 1
Medium Level of Difficulty

Consider figure ABCDE shown at the left.

ABCDE is a A plane polygon having five congruent sides and five congruent interior angles. whose sides are a + b as shown.

Find the exact value of the ratio of a to b.

Does this ratio have any special significance or special properties?

If so, describe the significance of the ratio and its special properties.
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Challenge Problem