Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why def=jkl?

AAS

LA

ASA

Step-by-step explanation:

In the given picture, we have two right triangles in which one side and one angle is equal to the corresponding side and one angle of the another right triangle,

So by LA theorem

ΔDEF≅ΔJKL

Also, two angles of ΔDEF is equal to the corresponding two angles of ΔJKL and one non included side, So by AAS theorem they are congruent.

If we consider right angle also, then two angles of ΔDEF is equal to the corresponding two angles of ΔJKL and one included side, So by ASA postulate they are congruent.

In ΔDEF and ΔJKL no two sides are given congruent thus we cannot apply SAS or LL or HL (hypotenuse are not given to be equal).

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: