Why does high air pressure mean good weather?

Question

Why does high air pressure mean good weather?

Answer 1

In general, the pressure at the surface is high because of descending air.  This air is heated (compression heating) which inhibits the formation of clouds.

Answer 2

Over high pressure areas,air sinks.This sinking air gets compressed and becomes warmer.This warm air reduces the relative humidity of the air and the air becomes dry.This condition prevents the formation of clouds as the air becomes more unsaturated and condensation of water vapour becomes a remote possibility.So, almost clear sky condition prevails over the high pressure area leading to good(fair) weather.