Question

PLEASE PLEASE HELP WITH MATH. ILL GIVE POINTS, BRAINLY AND FRIEND.

Answer 1

Answer:

∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG

Step-by-step explanation:

We have that the initial triangles are equal. Let us check which components remain within the final triangles as the same. The only such components are the angles B and C. We now know that we have to apply a triangle equality criterion.

The triangles BGH and CIH are equal since the have 2 common sides and the respective interior angles are equal. Then we have that BI=GC and also that the respective angles  B and C are equal. THen also HIJ=HGJ since they fill to 180 degrees with angles that are equal.

Hence by angle-side-angle the triangles BJI and CJG are equal.

∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG