Angiogenesis goes along with carcinogenesis, right?

No, But Necessary. Angio= blood, genesis=origin, creation, beginning, carcino=cancer. Thus both terms refer to origin/beginning, but about very different issues, formation of blood/blood vessels vs. Cancers. The one indirect connection, as mentioned by the other physician, is that no cells, including cancer cells, can survive without nearly by blood flow, thus rapid growing cancers must stimulate blood vessels.
Blood Supply. Many cancers secrete a host of substances to help them grow and survive. One of these substances is vegf - vascular endothelial growth factor. This stimulates the body to form new blood vessels (angiogenesis) to supply blood & nutrients to the growing cancer cells. One of the effective treatments for certain cancers is an antibody against vegf usually given with chemotherapy.