In a regular polygon, all the angles have the same measure. Martin drew a regular polygon in which the sum of the interior angles was 540°. What is the measure of each angle in Martin’s drawing?

The sum of a polygon’s interior angles is (n − 2) × 180°, so (n − 2) × 180° = 540° gives n = 5 sides. Because the polygon is regular, its five angles are equal, so each measures 540° ÷ 5 = 108°. The correct choice is 108°.

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