Final answer:
The Golgi apparatus and the Endoplasmic reticulum (ER) are organelles that make vesicles. The Golgi apparatus modifies, sorts, and packages substances into vesicles, while the ER produces vesicles that transport proteins.
Step-by-step explanation:
The organelles that make vesicles in cells are the Golgi apparatus and the Endoplasmic reticulum (ER). The Golgi apparatus is involved in protein processing and modifies, sorts, and packages different substances into vesicles for secretion out of the cell or for use within the cell. The ER, specifically the rough endoplasmic reticulum (RER), is involved in protein synthesis and transport, and it produces vesicles that transport these proteins to their designated locations.