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The proof is pretty simple, but hard to see without the pictures. SO here is a link to the proof with some pics.

http://www.apronus.com/geometry/triangle.htm

The answer depends on your geometry: In Euclidean geometry, the angle sum is 180 degrees, in Hyperbolic geometry it is less than 180 degrees, and in Elliptical geometry it is greater than 180 degrees.

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14y ago

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Related Questions

What is a triangle with no right angles?

Equilateral Triangles do not contain right angles, since all angles in this shape are equal and it is impossible to make a triangle that consists of three 90 degress angles. Isosceles and Scalene may contain a right angle.


Triangle with an angle equal to 90 degress?

A right triangle.


A triangle must equal 180 degress?

The Sum of the angles of a triangle drawn on a plain surface. is 180 degrees. However, the sum of the angles of a triangle drawn on a curved surface, such as a sphere ( the Earth) can be greater than 180 degrees.


How can you prove that a triangle is an isosceles triangle?

It has 3 sides 2 of which are equal in length It has 3 angles 2 of which are the same size


What is a triangle with no equal sides and no equal angles?

A triangle with no equal sides and no equal angles is called a scalene triangle. In contrast, a triangle with equal sides and equal angles is called an equilateral triangle. A triangle with two equal sides and two equal angles is an isosceles triangle.


A triangle with all equal angles is called?

An EQUILATERAL Triangle. An ISOSCELES Triangle is two equal sides and two equal angles. A RIGHT-ANGLED Triangle has ONE right angle (90 degrees) A SCALENE Triangle has neither equal sides nor equal angles.


How many equal angles can a right triangle have?

A right triangle can have 2 equal angles if they are each 45° (any other right triangle will have no equal angles)


How many equal angles and right angles has a obtuse triangle have?

An obtuse triangle can have no right angles, and has two equal angles.


What are the types of the triangle?

Equilateral Triangle- 3 equal sides, 3 equal angles which are ALWAYS 60 degrees. Isosceles Triangle- Two equal sides, Two equal angles Scalene Triangle- No equal sides, and no equal angles


How can you prove that a triangle is an isosceles triangle with some examples?

An isosceles triangle has 3 sides 2 of which are equal in length An isosceles triangle has 3 interior angles 2 of which are the same size


What is a triangle that has two equal sides and no equal angles?

There is no such triangle because if it has two equal sides then it must have two equal angles such as an isosceles triangle


What measure of angle a will make triangle abc similar to triangle fde?

Corresponding angles must be equal; in this case, that would be angle f. To prove that the two triangles are equal, you would have to prove that at least another pair of angles is also equal, for example, angle b equal to angle d. Or prove some other facts, like the ratio between certain corresponding sides.