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. A. The sum would be greater than 540. B. The sum would still be 540°. C. The sum would be less than 540°. D. The sum would less than or greater than, but never equal to, 540°.

Question

Mathematics

Bryanna Barrera

25 February, 14:35

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. A. The sum would be greater than 540. B. The sum would still be 540°. C. The sum would be less than 540°. D. The sum would less than or greater than, but never equal to, 540°.

+5

Answers (1)

Know the Answer?

Madalyn Castro · Answer 1

In Euclidean geometry, the sum of the measures of the interior angles of a pentagon is 540°. when the pentagon is in spherical geometry, t he sum would be greater than 540 because of the convex curvature of a sphere. the answer to this problem is expressed in option A.