jackpatrick12
Answered

Three degree angle measures of a triangle are given.

Does the triangle exist in Euclidean geometry, spherical geometry, or neither?

  1. 115, 37, 160

  2. 52, 19, 23

  3. 71, 90, 19

  4. 108, 120, 68

Verified Answer :

LammettHash

In Euclidean geometry, the sum of the angles in a triangle always add to 180. In spherical geometry, the sum must be between 180 and 540.

1. adds up to 312 \(\implies\) spherical only
2. adds up to 94 \(\implies\) neither
3. adds up to 180 \(\implies\) Euclidean only
4. adds up to 296 \(\implies\) both

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