Question

If two lines are cut by a transversal, the corresponding angles are equal in measure.

Answer 1

As stated, this is false.

If you add parallel to the statement to get:

If two parallel lines are cut by a transversal, then the corresponding angles are equal in measure.

Then, that statement is true.

Note: If the question is a sometimes, always, never question, then the answer is sometimes. If that is the question, send message so that I can explain it.

Answer 2

Answer:

The given statement is FALSE.

Step-by-step explanation:

if two lines are cut by a transversal, the corresponding angles are not always equal in measure.

Since it is not mentioned in the given statement how the two lines are related as we know that if two parallel lines re cut by a transversal, the corresponding angles are equal.

( since If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent also the alternate exterior angles are equal)

Hence, the given statement is False.