Question

If BC $\parallel$ DE then $\angle ABC$ and $\angle ADE$ are ___

• A. similar
• B. congruent
• C. supplementary
• D. (a) and (b) above.

Answer 1

The correct option is D (a) and (b) above.

BC $\parallel$ DE and AD is a transversal.
So, $\angle ABC=ADE$ since they are corresponding angles.

If two angles have same measure, then they are congruent. If two figures are congruent, they are always similar.

Thus, $\angle ABC$ and $\angle ADE$ are congruent as well as similar.