answersLogoWhite

0


Best Answer

The sum of angles in a triangle in a spherical geometry is greater than 180° the sum is greater the larger the surface area of the triangle.

Example:

Think of a triangle on the Earth with one corner at the North Pole, the other corners on the Equator 90° apart (say at 0° [west of Nigeria in Africa] the other at 90° W [West of Ecuador in South America]).

Each of these angles is 90° so the sum is 270° - The surface area of the triangle is one eighth of the surface of the globe. But it is a triangle (on a sphere).

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: In spherical geometry the measures of the angles in a triangle add up to 180 degrees?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is right triangle geometry?

A right triangle in geometry is a triangle that has 90 degrees as one of its angles.


What triangle measures 162 degrees?

An obtuse triangle measures 162 degrees.


In spherical geometry the measures of the angles in a triangle add up to ... 180 degrees?

The sum of angles in a triangle in a spherical geometry is greater than 180° the sum is greater the larger the surface area of the triangle.Example:Think of a triangle on the Earth with one corner at the North Pole, the other corners on the Equator 90° apart (say at 0° [west of Nigeria in Africa] the other at 90° W [West of Ecuador in South America]).Each of these angles is 90° so the sum is 270° - The surface area of the triangle is one eighth of the surface of the globe. But it is a triangle (on a sphere).


What type of triangle has an angle that measures 100 degrees and an angle that measures 60 degrees?

Obtuse triangle


A triangle has one angle that measures 19 degrees one angle that measures 121 degrees and one angle that measures 40 degrees?

right triangle


What type of triangle has an angle that measures 20 degrees and and angle that measures 90 degrees?

Any triangle that has an angle measuring 90 degrees is a right triangle.


What shape has three square corners?

A triangle Square An equilateral triangle on a sphere that distends 90 degrees (think of a triangle with one corner at the north pole, one corner on the equator at the 0 meridian, and one corner on the equator at 90 degrees longitude. Each corner of this spherical triangle measures 90 degrees.


What type of triangle has an angle that measures 45 degrees and an angle that measures 75 degrees?

acute-angled triangle


What kind of triangle measures go degrees 90 degrees and 30 degrees?

A right angle triangle and the third angle measures 60 degrees


Can an equilateral triangle be a right triangle?

No. Remember that an equilateral triangle is also equiangular, and all angles must add up 180 degrees. Since there are three angles in a triangle each angle must equal 60 degrees, because 60 is 1/3 of 180. (Extra credit answer: not in Euclidean geometry. In other geometries, it may be possible; for example, in spherical geometry it's possible for a triangle to have three right angles.)


How many degrees would a triangle have in hyperbolic geometry?

170 degrees


What type of triangle measures 60 degrees?

The 3 interior angles of an equilateral triangle each measures 60 degrees