In Euclidean geometry, the sum of the measures of the interior angles of a pentagon is 540°. Predict how the sum of the measures of the interior angles of a pentagon would be different in spherical geometry.

In spherical geometry, a polygon’s interior-angle sum is greater than the Euclidean sum for the same number of sides. A pentagon’s Euclidean sum is 540°, so its spherical interior-angle sum would be greater than 540°. The best answer is A, “The sum would be greater than 540°.”

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