Remote Interior Angle
However since the euclid s exterior angle theorem is a theorem in absolute geometry it is automatically valid in hyperbolic geometry.
Remote interior angle. Angle a 60 45. Remote interior angle. In our example angle d is an exterior angle and angle a and angle b are the remote.
Remote interior angles are those that don t share a vertex or corner of a triangle with the exterior angle. An exterior angle of a triangle or any polygon is formed by extending one of the sides. Angles are the remote interior angles as they don t share a corner with the exterior angle.
Unlike anything that enters the bermuda triangle exterior angles can be found in more than one way. An interior angle of a triangle is formed by two sides of the triangle. The sides of the triangle emanating from the north pole great circles of the sphere both meet the equator at right angles so this triangle has an exterior angle that is equal to a remote interior angle.
We can check if this is correct as we know that a straight line measures 180. Angle a 105. Using remote interior angles we know that.
This video covers how to use the remote interior angles. Again let s start by identifying the exterior angle and the remote interior angles. It is the interior angle of two sides of a triangle such that those sides are not adjacent to the exterior angle.
Proof of remote interior angle theorem. An exterior angle is formed by one side of the triangle and the extension of an adjacent side. The remote interior angles are just the two angles that are inside the triangle and opposite from the exterior angle.