92.3k views
2 votes
What reason should kamal add to all of the question marks in order to completer the proof

What reason should kamal add to all of the question marks in order to completer the-example-1
What reason should kamal add to all of the question marks in order to completer the-example-1
What reason should kamal add to all of the question marks in order to completer the-example-2
User Tomek
by
3.7k points

1 Answer

7 votes

Answer: The answers is alternate interior angles.


Step-by-step explanation: First of all, the questions marks given in the figure are renamed in the attached figure as (a), (b), (c) and (d).

For (a): Since AC is parallel to A'C' and A'D is a transversal for these two parallel lines, so, ∠CDB' = ∠B'A'C', because these are alternate interior angles.

For (b): Since BC is parallel to B'C' and A'B' is a transversal, so ∠BEB' = ∠A'B'C', because these are alternate interior angles.

For (c): Since AB is parallel to A'B' and AD is a transversal, so ∠BAC = ∠CDB', because these are alternate interior angles.

For (d): Since AB is parallel to A'B' and BE is a transversal, so ∠ABC = ∠BEB', because these are alternate interior angles.

Thus, all the questions marks are the reasons that the given angles are equal because they are alternate interior angles.

What reason should kamal add to all of the question marks in order to completer the-example-1
User Bhavin Ramani
by
4.7k points