We are searching for a value of y that will create congruent sides and angles of these two triangles. First, let's use some colors to indicate the corresponding vertices in the given congruence statement.
△ MH J ≅△ PQ J
Then, we can display them on the diagram.
For now, let's focus on the side that has a length given in the diagram and the corresponding side in the other triangle.
H JandQ J
Since these are corresponding sides in congruent triangles, their measures are the same.
This allows us to set up and solve an equation for y.
