Question

In Figure 1, which of the following guarantees that a║b?
a. ∠1 ≅ ∠7
b. ∠3 ≅ ∠5
c. ∠4 ≅ ∠5
d. ∠4 ≅ ∠7

Answer 1

Answer:

c is correct. yes it is a good day

Answer 2

∠4 ≅ ∠5 guarantees that a║b. (Option c)

• Line t is a transversal and so, angles 4 and 5 are the interior and alternate angles.
• So, if angles 4 and 5 are of equal measure, the lines b and a are definitely parallel to each other.
• The congruency of angles 7 and 1, and angles 7 and 4 are irrelevant and angles 5 and 3 have to be supplementary for lines b and a to be parallel.