Abcd ≅ fghj. find the measure of the given angles or lengths of the given sides. cd = 2x + 3; hj = 3x + 2.

The question asks for the length of CD and HJ. To find those, we need to find a connection between them.

In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.

So we know that CD and HJ are congruent.
Set them equal:

Subtract 2x from both sides:

Subtract 2 from both sides:

If x is 3, plug it in:

Simplify:


So, HJ is 11. And because HJ ≅ CD, CD is 11 too.