An equilateral triangle has an internal angle sum of \( 180^\circ \) and each vertex has angles of \( 60^\circ \). A square has an internal angle sum of \( 360^\circ \) and each vertex has an angle of \( 90^\circ \). A regular pentagon has an internal angle sum of \( 540^\circ \). What is the angle at each vertex of a regular pentagon?

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