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In some non-Euclidean geometries the 3 angles of a triange will add up to less than 180 degrees. In other non-Euclidean geometries they will add up to more than 180 degrees.

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Q: Is it true that in non Euclidean geometry states that the 3 angles of any triangle is 180 degrees?
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Related questions

Can the sum of the angles of a triangle exceed 180 degrees?

In basic Euclidean geometry no, the sum of the angles always equals 180 degrees exactly. In non-Euclidean geometry it can exceed 180 degrees.


What is the triangle angle sum theorem?

The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees


What does angles in an isosceles add up to?

Assuming you are referring to a triangle. In Euclidean, or plane geometry, always to 180 degrees. In non-Euclidean geometry either more or less than 180 degrees.


Does an angle of an triangle sum up to 180 degrees?

The sum of the interior angles of a triangle always add up to 180 degrees. In Euclidean geometry


Can a triangle have two right angles yes or no?

No. A triangle's angles must add up to 180 degrees so it cannot have two right angles. However, the answer is yes if you are talking about a triangle on the surface of a sphere. In this case the geometry is non-Euclidean. If you are staying with standard Euclidean geometry, then the answer no above is correct.


Do all angles of a triangle add up to 270 degrees?

It depends on whether the triangle is in euclidean geometry or not (flat plane). IN Euclidean Geometry they always add up to 180 degrees. On the surface area of a sphere it can be 270, 230, 360 etc. it depends on which type of triangle you are talking about


What is the total interior angles for an equilateral triangle?

All triangles have a total of 180 degrees for interior angles in Euclidean plane geometry


What is the sumof the measure of the three anglesin a triangle?

The sum of the three angles in any triangle is 180 degrees. In plane Euclidean geometry


When will a triangle not equal 180 degrees?

never In non-Euclidean geometry triangles can have angles that are more or less than 180 degrees.


A triangle with two acute angles must be a right angle?

No. The three angles in a triangle, in plane Euclidean geometry, must add to 180 degrees. Acute angles are less than 90 degrees. Therefore you may have a triangle with three angles which are 60 degrees for instance.


Is it true that the sum of three angles of any triangle is 180 in non euclidean geometry?

No. Non-Euclidean geometries usually start with the axiom that Euclid's parallel postulate is not true. This postulate can be shown to be equivalent to the statement that the internal angles of a traingle sum to 180 degrees. Thus, non-Euclidean geometries are based on the proposition that is equivalent to saying that the angles do not add up to 180 degrees.


What is the total angles of an scalene triangle?

There are 3 angle in any triangle. Iin plane geometry. collectively they will add up to 180 degrees. In non-Euclidean geometry the total will be greater or less than 180 degrees depending on which geometry is being used.