There is yet no evidence that explicitly ties the use of a face mask to lower rates of SARS-CoV-2 transmission. A lot of the published evidence is either inconsistent, or indirect (measurement of droplets, but that doesn't take physical barriers like nose and mouth, or the viral load required to overcome the non adaptive immune system). In fact, it has been argued that non pharmacological interventions should be evaluated with better evidence [1].
A Danish clinical trial enrolling 3000 people will probably give some more concrete answers.
OTOH, hand washing and distance are definitely useful to reduce spread.
P.S. Feel free to state your disagreement explicitly instead of downvoting.
[1] https://blogs.bmj.com/bmj/2020/08/28/margaret-mccartney-we-n...