please answer thw question

Question

Use the diagram shown.

If ∠1 ≅ ∠3, which conclusion can be made?

1. 
   
2. A.
3. a ∥ b
4. 
   
5. B.
6. c ∥ d
7. 
   
8. C.
9. c ⊥ a
10. 
    
11. D.
12. b ⊥ d

Answer 1

B is the correct answer choice.

Use the Corresponding Angle Postulate. If the two lines are parallel, their corresponding angles are congruent. Angle1& Angle3 form the corresponding angles of line c and line d. Hence c II d.