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Which diagram shows parallel lines cut by a transversal?

A. Two lines are cut by a transversal. At the intersection of the first line with the transversal, the upper left angle is 75 degrees. At the intersection of the second line with the transversal, the upper left angle is 80 degrees.

B. Two lines are cut by a transversal. At the intersection of the first line with the transversal, the bottom left angle is 85 degrees. At the intersection of the second line with the transversal, the upper right angle is 81 degrees.

C. Two lines are cut by a transversal. At the intersection of the first line with the transversal, the bottom right angle is 130 degrees. At the intersection of the second line with the transversal, the upper right angle is 50 degrees.

Answer :

Answer:

c.

Step-by-step explanation:

2 lines are cut by a transversal. At the intersection of the first line with the transversal, the bottom right angle is 130 degrees. At the intersection of the second line with the transversal, the uppercase right angle is 50 degrees.

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Rewritten by : Barada

At the intersection of the first line with the transversal, the bottom right angle is 130 degrees. At the intersection of the second line with the transversal, the uppercase right angle is 50 degrees.

Explanation:

  • Alternate interior angles are supplementary when parallel lines are crossed by a transversal.

All the above option are not following this property.

Properties of Parallel Lines Cut by a Transversal

  • The corresponding angles are equal.
  • The vertically opposite angles are equal.
  • The alternate interior angles are equal.
  • The alternate exterior angles are equal.
  • The pair of interior angles on the same side of the transversal is supplementary.

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