Prove that a convex pentagon (a five-sided polygon)
with equal sides and for which the interior angles satisfy the condition
is a regular pentagon.
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Prove that a convex pentagon (a five-sided polygon) $ABCDE$ with equal sides and for which the interior angles satisfy the condition $\angle A \geq \angle B \geq \angle C \geq \angle D \geq \angle E$ is a regular pentagon.
Školjka