Question

In the diagram, line l and line m are parallel lines cut by transversal n.

Answer 1

Where lines l and m are parallel lines cut across by the transversal n, the statement that accurately defines what <a and <b are is:

B.-∠a and ∠b are alternate exterior angles.

Special angles form a unique relationship when a transversal cut across two parallel lines.

• An example of such special angles depending on where they are located as shown in the diagram given are angle a and angle b.

Angle a is an exterior angle because it is located outside the parallel line that the transversal intersects.

Angle b is also is an exterior angle because it is located outside the parallel line that the transversal intersects.

Also, they are both lie opposite to each other along the transversal. Hence, they are called "alternate exterior angles."

In summary, where lines l and m are parallel lines cut across by the transversal n, the statement that accurately defines what <a and <b are is:

B.-∠a and ∠b are alternate exterior angles.

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