Will give brainiest if answered correctly with explanation.

HL  and SAS

which agrees with the third option listed among your options

Step-by-step explanation:

Notice that you have two triangles (see attached image) which have a common side (marked in blue), sides YW and YZ (marked in green) congruent, and the angle in between also congruent.

Therefore we have two postulates than can be applied to prove that the triangles YWX and YXZ are congruent:

HL postulate : "congruent hypotenuse and a corresponding congruent leg " that corresponds to hypotenuses YW and YZ, and congruent leg which is the common segment YX.

and:

SAS postulate: "two sides and the included angle" which corresponds to sides YW, YX, and angle WYX on one triangle, and sides YX, YZ, and angle XYZ in the other triangle

12*c

step-by-step explanation: