## remote interior angles

### Remote interior angles refer to a set of angles that are formed when two parallel lines are intersected by a transversal line

Remote interior angles refer to a set of angles that are formed when two parallel lines are intersected by a transversal line. When this occurs, two interior angles are formed on the same side of the transversal line and located on opposite sides of the parallel lines.

To better understand remote interior angles, let’s consider the following diagram:

A___________B

| |

| |

____1|___________|2____

| |

|___________|

C D

In the diagram above, lines AB and CD are parallel, and they are intersected by the transversal line 1-2. This intersection creates several angles, but we will focus on the remote interior angles.

The remote interior angles are formed by drawing two distinct lines from point A:

1. Angle ACD: This angle is formed by line 1 and line AD. It is an interior angle because it is inside the space between the parallel lines AB and CD.

2. Angle ACB: This angle is formed by line 1 and line BC. It is also an interior angle because it is inside the space between the parallel lines AB and CD.

The significant characteristic of remote interior angles is that they are non-adjacent angles on the same side of the transversal and situated on opposite sides of the parallel lines.

In summary, remote interior angles are a pair of interior angles formed when two parallel lines intersect with a transversal. They are located on the same side of the transversal and located on opposite sides of the parallel lines.

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