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

Answer 1

In spherical geometry, the angle sum to more than 540.

Think of a pentagon drawn on the plane. Now as you stretch the figure to wrap around a sphere, the angles spread apart, getting bigger.

Answer 2

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