A two-stroke engine has an intake arrangement including a carburetor. An intake channel divides into a mixture channel and an air channel. An intermediate flange is mounted between the carburetor and the cylinder. This flange has a carburetor connecting surface, which faces toward the carburetor, and a cylinder connecting surface which faces toward the cylinder. Referred to the flow direction in the intake channel, the air channel divides upstream of the cylinder connecting surface into two branches. The first branch has a first longitudinal center axis and the second branch has a second longitudinal center axis. The intersect points of the center axes with the connecting surfaces are mutually connected via an imaginary connecting line in the carburetor connecting surface or the cylinder connecting surface. The two connecting lines conjointly define an angle β in the carburetor connecting surface with this angle being greater than 0°.