The left coronary artery arises from the left posterior aortic sinus and supplies blood to the left side of the heart. It has branches including the left conus artery, left marginal branch, and circumflex branch. The right coronary artery arises from the right posterior aortic sinus and supplies blood to the right side of the heart, with branches such as the right conus artery and right marginal branch. The aorta receives oxygenated blood from the left ventricle and distributes it throughout the body.