Question

In what situation will the 8 angles ALL be the same

degree measure?
A. When the 2 parallel lines are parallel to the transversal.
B. When the 2 parallel lines are skew to the transversal.
C. When the 2 parallel lines are perpendicular to the transversal.
D. This is a trick question, there is not a situation where all 8 angles are the same
measure.

Answer 1

In the case where the 2 parallel lines are perpendicular to the transversal, all 8 angles will be the same degree measure of 90 degrees.

Step-by-step explanation:

In the case where the 2 parallel lines are perpendicular to the transversal, all 8 angles will be the same degree measure. This is because when two lines are perpendicular, they form right angles, which have a measure of 90 degrees. The transversal cuts through these right angles, creating congruent angles on both sides. Therefore, all 8 angles will have a measure of 90 degrees.