Question

Which geometry includes a triangle that has angle measures of 45°, 61°, and 70°? Euclidean geometry hyperbolic geometry elliptical geometry spherical geometry

Answer 1

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Explanation:

Answer 2

The sum of angles is 176° which is less than 180°, hence it is a:

Hyperbolic Geometry

Explanation:

In Euclidean geometry, sum of all the angle of the triangles is equal to a straight line, which means the sum of all angles is equals to 180°

Hyperbolic geometries are Non-Euclidean geometries which strictly has the sum of all angles less than 180°. The difference between the 180° and the sum of angles found is usually known as Defect.

Elliptical Geometries are Non-Euclidean geometries, the sum of angles of the triangle is always greater than 180°

Spherical geometries are also Non-Euclidean geometries which shows a 2-D surface of a sphere. The sum of angles is always great than 180° and less than 540°

There is only 1 valid option i.e Hyperbolic Geometries.