How plane wings work
Many people think a plane wing pushes the air down below it, thereby forcing the wing upwards. This is not correct. The angle of a plane's wing is not set steeply enough to do this. Instead, the wing is curved so that the air flowing on its upper surface has further to go than the air on the lower side.

This extra distance of travel causes the air pressure above the wing to be slightly lower than the pressure below.
The differences in air pressure create the 'lift' that keeps the plane in the air.