remote interior angles
the two angles that are non-adjacent to the given exterior angle.
Remote interior angles are a type of angle that is formed when two lines are intersected by a transversal. These angles are also known as exterior angles. Remote interior angles refer to pairs of angles that are positioned on opposite sides of the transversal and on different lines that are intersected by the transversal.
To find the value of a remote interior angle, you need to know the measure of the corresponding interior angle. The measure of a remote interior angle is equal to the sum of the measures of the two corresponding interior angles. This is known as the exterior angle theorem.
For example, if a transversal intersects two parallel lines, you can find the measure of a remote interior angle by adding the measures of the two corresponding interior angles. If one corresponding interior angle is 60 degrees and the other is 120 degrees, then the remote interior angle is 180 degrees (60 + 120 = 180).
It is important to remember that the measure of a remote interior angle is always equal to the sum of the measures of the two corresponding interior angles, regardless of whether or not the lines intersected by the transversal are parallel.
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