Which congruence test can be used to prove that triangle GHI is congruent to triangle LKJ?

PLz help I have been at this problem for a while now.

Thanks

You mean triangles GHJ and LKJ, right?

Angles H and K are the same (given), sides HJ and KJ are the same (given), and the two angles on either side of point J are vertex angles so they are the same.

Looks like an "angle-side-angle" congruency to me.