Pick up the incorrect statement from the following. In a spherical triangle A. Every angle is less than two right angles B. Sum of the three angles is equal to two right angles C. Sum of the three angles less than six right angles and greater than two right angles D. Sum of any two sides is greater than the third

Every angle is less than two right angles
Sum of the three angles is equal to two right angles
Sum of the three angles less than six right angles and greater than two right angles
Sum of any two sides is greater than the third

The correct answer is: B. Sum of the three angles is equal to two right angles.

In a spherical triangle, the sum of the three angles is always greater than two right angles and less than six right angles. This is because the angles of a spherical triangle are measured in spherical degrees, which are larger than the degrees we use on a flat surface. A spherical degree is equal to the angle subtended by an arc of 1/360th of a great circle on the surface of a sphere. A great circle is the largest circle that can be drawn on a sphere, and it passes through the center of the sphere.

The sum of the three angles of a spherical triangle is always greater than two right angles because the sum of the three angles of a spherical triangle is equal to the sum of the three angles of a spherical polygon with three sides. A spherical polygon is a polygon that is drawn on the surface of a sphere. The sum of the angles of a spherical polygon with three sides is always greater than two right angles because the angles of a spherical polygon are measured in spherical degrees, which are larger than the degrees we use on a flat surface.

The sum of the three angles of a spherical triangle is always less than six right angles because the sum of the

three angles of a spherical triangle is equal to the sum of the three angles of a spherical polygon with three sides. A spherical polygon is a polygon that is drawn on the surface of a sphere. The sum of the angles of a spherical polygon with three sides is always less than six right angles because the angles of a spherical polygon are measured in spherical degrees, which are larger than the degrees we use on a flat surface.

The sum of any two sides of a spherical triangle is always greater than the third side. This is because the sum of any two sides of a spherical triangle is equal to the sum of the two sides of a spherical polygon with two sides. A spherical polygon is a polygon that is drawn on the surface of a sphere. The sum of the two sides of a spherical polygon with two sides is always greater than the third side

because the sides of a spherical polygon are measured in spherical degrees, which are larger than the degrees we use on a flat surface.
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