Question

How do I solve this?

Answer 1

Those lines on the side say that the angles are the same
so tell me, how much is the total degree for this shape?

Answer 2

I thought those lines mean that the sides are the same length?

Answer 3

Yes, correct @quickstudent but they would also infer that the angles would be the same degree if you formed a triangle like this

Answer 4

Now what you can do to find BCD is to start finding the missing angles of both triangles.

x+x+127=180. solve for x and you have found the missing angles of the top triangle.
y+y+43=180. solve for y and you have found the missing angles of the bottom triangle.