Mechanical penetrations (Supply or Return Air Vents) are not
allowed in garages in residential construction under the
International Residential Code.
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Some countries' Building Codes and/or Regulations may allow a
garage to be heated by a normal water-heated radiator supplied by
the house's furnace or hot water calorifier. (Calorifier = "boiler"
in everyday language.)
To find out if it is allowed where your home is situated you
must check the Building Codes and/or Regulations for your locality
i.e. Town/State/Country or - better still, as you needed to ask
this question here - ask a locally-licensed plumber or HVAC
(Heating Ventilation and Air Conditioning) technician for
advice.
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Yes you can, as long as you use a 1 way trap tha restricts the
airflow only to the garage and not backwards. "International
building codes" do not apply everywhere