Question

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

https://dlap.gradpoint.com/Resz/~yUA6AAAAAAwgDoPmHeRJPB.C0KulkeHrnuecp1r5Pv7pD/7234256,F62/Assets/questions/quiz/geometry/geocontr/geocontr-e-15.png

Answer 1

the HL Theorem.


that complements of congruent angles are congruent.


the SAS Postulate.


that supplements of congruent angles are congruent.

Answer 2

@dude @563blackghost

Answer 3

notice that angle TKL is on a straight line with angle 3 meaning they add up to 180
also, angle TLK is on a straight line with angle 4 meaning they also add up to 180

angle 3 and 4 are congruent making angles TKL and TLK congruent as well

if two angles add up to 180 is that a supplement or a complement? this will be the key to finding the correct sol'n