Question

In the figure, ∠1 ≅ ∠2, ∠3 ≅ ∠4, and . You can justify the conclusion that ∠TKL ≅ ∠TLK by stating _____

that complements of congruent angles are congruent.


the SAS Postulate.


the HL Theorem.


that supplements of congruent angles are congruent.

Answer 1

The answer is "that supplements of congruent angles are congruent" because in order for the angles to be congruent to complete SAS their supplements must be congruent.

Answer 2

From the question, we know that we will be looking at <3, <4, and angles TKL and TLK. That being said, since <3 is congruent to <4, that means that angles TKL and TLK, which are each supplementary to either angle 3 or 4, are congruent because, since angles 3 and 4 are congruent, they are congruent because the supplements of congruent angles are congruent.