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Question

If BC DE then ABC and ADE are  ___
  1. similar
  2. congruent
  3. supplementary
  4. (a) and (b) above.


Solution

The correct option is D (a) and (b) above.
BC DE and AD is a transversal.
So, 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, ABC and ADE are congruent as well as similar.

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