Question

9. If two lines are cut by a transversal so that (alternate interior, alternate exterior, corresponding, consecutive interior) angles are congruent, then the lines are parallel.

Answer 1

If two lines are cut by a transversal so that (alternate interior, alternate exterior, corresponding, consecutive interior) angles are congruent, then the lines are parallel

Step-by-step explanation:

When two lines are cut by a transversal so that alternate interiors, alternate exterior or corresponding, are congruent, then the line must be parallel

If;

`\begin{gathered} \measuredangle a=\measuredangle b\text{ (alternate interior)} \\ \measuredangle x=\measuredangle y\text{ (alternate exterior)} \\ \measuredangle x=\measuredangle b\text{ (corresponding angles)} \end{gathered}`

then the lines are parallel.