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).
An obtuse triangle measures 162 degrees.
170 degrees
It is a right angle triangle providing that the 3rd angle is 30 degrees.
It is a right angle triangle and the 3rd angle will measure 30 degrees
The 3rd angle is 30 degrees which would form an obtuse or scalene triangle.
A right triangle in geometry is a triangle that has 90 degrees as one of its angles.
An obtuse triangle measures 162 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).
Obtuse triangle
right triangle
Any triangle that has an angle measuring 90 degrees is a right triangle.
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.
acute-angled triangle
A right angle triangle and the third angle measures 60 degrees
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.)
170 degrees
The 3 interior angles of an equilateral triangle each measures 60 degrees