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Q: Does the angles of triangle on a curved surface equal more than 180 degrees?
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What is the sum of measures of the angles in any triangle is 180 degrees?

A universal truth. (Provided the triangle is on a flat surface, and not a curved surface such as that of the earth!)


The sum of the measures of the angles of a triangle greater than 180 degrees?

It is not possible in plane Euclidean geometry, but always true on a convex curved surface such as the face of the Earth.


What is deference between plane trigonometry and spherical trigonometry?

Plane assumes a flat surface, where the angles of a triangle always add up to exactly 180 degrees. Spherical assumes a curved surface (such as the surface of the Earth, where the angles of a triangle add up to more than 180.


Can you draw an obtuse triangle with two obtuse angles?

Only on a curved surface like a sphere. You must understand non-euclidean geometry (geometry with no flat surfaces like paper). On a curved plane like a sphere all angles>180 On a flat plane like paper all angles=180 And on a saddle shaped plane like a Pringle all angles<180


Why is the sum of triangles interior angle always 180 degree?

In a regular triangle. (isosceles, right, or acute), the interior angles always add up to 180 degrees because in simplest terms, a triangle is basically a line that has been folded into three sections and every line is equivalent to 180 degrees. However... there are technically triangles that have interior angles that do not add up to 180 degrees! A pseudosphere is a triangle that is essentially "drawn" on a sphere resulting in each of the sides being curved. The interior angles of a pseudosphere actually add up to more than 180 degrees.

Related questions

What is the sum of measures of the angles in any triangle is 180 degrees?

A universal truth. (Provided the triangle is on a flat surface, and not a curved surface such as that of the earth!)


On the surface of a sphere the sum of the angles of a triangle equals 180 degrees?

The angles will add up to greater than 180 degrees, because each of the lines will appear to bend as they have to follow the curved surface.


A triangle in which all of the angles are equal?

A triangle in which all angles are equal is an equiangular triangle. In the case of a triangle, being equiangular also implies that it is equilateral and the more common common name for such a triangle is an equilateral triangle.


Is it possible to have a triangle with 2 right angles?

Yes, but not on a plane surface; only on a curved surface.


The sum of the measures of the angles of a triangle greater than 180 degrees?

It is not possible in plane Euclidean geometry, but always true on a convex curved surface such as the face of the Earth.


What is deference between plane trigonometry and spherical trigonometry?

Plane assumes a flat surface, where the angles of a triangle always add up to exactly 180 degrees. Spherical assumes a curved surface (such as the surface of the Earth, where the angles of a triangle add up to more than 180.


What measures 30 degrees 40 degrees an side of 5cm 7cm 8cm?

It is either a triangle on a curved surface or a polygon with 4 or more sides.


What is the difference between an obtuse scalene triangle and an acute isosceles triangle?

The word 'Triangle' means 'three angles' more archaicly, a 'trigon'. It is also a collective noun for different shapes of triangles. OBTUSE ; one of the angles in a triangle is greater than 90 degrees. By summation it means the other two angles musr be less than 90 degrees, SCALENE ; All the sides and all the angles are different. This type of triangle my exhibit obtuse characteristics. ACUTE ISOSCELES ; All the angles are less than 90 degrees. Two of the three angles are the same size, and two of the three sides are the same length. NB It is possible to have an OBTUSE Isosceles. triangle. There is a fourth type of triangle, which is a 'RIGHT ANGLED' triangle. In this case one angle is 90 degrees. This type of triangle may be ISOSCELES or SCALENE. NB For ALL triangles, drawn on a plane surface, the sum of the interior angles is ALWAYS 180 degrees. However, for triangles drawen on a curved surface; a sphere , the EARTH, the sum of the interior angles may add up to 360 degrees.


Can you draw an obtuse triangle with two obtuse angles?

Only on a curved surface like a sphere. You must understand non-euclidean geometry (geometry with no flat surfaces like paper). On a curved plane like a sphere all angles>180 On a flat plane like paper all angles=180 And on a saddle shaped plane like a Pringle all angles<180


What are all the diffent kinds of triangle?

right triangle - has one 90° angle Pythagorean triangle - right triangle whose side lengths are all integers oblique triangle - has no 90° angle acute triangle - each angle is less than 90° obtuse triangle - one angle is greater than 90° equilateral triangle - angles are 60°-60°-60° isosceles triangle - has two equal angles scalene triangle - has three different angles rational triangle - all side lengths are rational integer triangle - all side lengths are integers Heronian triangle - all side lengths and area are integers equable triangle - has a perimeter of n units and and area of n square units degenerate triangle - angles are 0°-0°-180° planar triangle - a triangle drawn on a flat surface (plane) non-planar triangle - a triangle drawn on a curved surface spherical triangle - a non-planar triangle on a convex surface, like the Bermuda Triangle hyperbolic triangle - a non-planar triangle on a concave surface


Why is the sum of triangles interior angle always 180 degree?

In a regular triangle. (isosceles, right, or acute), the interior angles always add up to 180 degrees because in simplest terms, a triangle is basically a line that has been folded into three sections and every line is equivalent to 180 degrees. However... there are technically triangles that have interior angles that do not add up to 180 degrees! A pseudosphere is a triangle that is essentially "drawn" on a sphere resulting in each of the sides being curved. The interior angles of a pseudosphere actually add up to more than 180 degrees.


What relationship exists regarding the angles in a triangle?

The interior angles of a triangle always add up to 180°Because the interior angles always add to 180°, every angle must be less than 180°The bisectors of the three interior angles meet at a point, called the incenter, which is the center of the incircle of the triangle.Note The interior angles only add to 180° when the triangle is planar, meaning it is lying on a flat plane. If the triangle is not planar, for example if it is lying on the curved surface of a sphere, the angles do not add to 180°.