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Earn +20 ptsQ: In hyperbolic geometry a triangle could potentially have degrees.?
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How many degrees would a triangle have in hyperbolic geometry?
170 degrees
In hyperbolic geometry triangles have 180 degrees?
.less than
What if the angles of a triangle don't add up to 180 degrees?
If the sum is not 180° you are not in Euclidean space.If the three angles of a triangle add up to more than 180° then you are in a spherical geometry, if the sum is less than 180° it is a hyperbolic space.It must add up to 180 degrees. If not, then it either isn't a triangle, or it is a triangle on some non-planar surface (e.g. a triangle formed by taking three points on a globe).
What is the triangle angle sum theorem?
The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees
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.
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