{Ought} (opheilei). Moral obligation therefore (dia
touto, rests on woman in the matter of dress that does not (ouk
opheilei in verse  7 ) rest on the man. {To have a sign of
authority} (exousian echein). He means s(886d)eion exousias
(symbol of authority) by exousian, but it is the sign of
authority of the man over the woman. The veil on the woman's head
is the symbol of the authority that the man with the uncovered
head has over her. It is, as we see it, more a sign of subjection
(hypotag(8873),  1Ti 2:10 ) than of authority (exousias).
{Because of the angels} (dia tous aggelous). This startling
phrase has caused all kinds of conjecture which may be dismissed.
It is not preachers that Paul has in mind, nor evil angels who
could be tempted ( Ge 6:1f. ), but angels present in worship (cf.
 1Co 4:9  Ps 138:1 ) who would be shocked at the conduct of the
women since the angels themselves veil their faces before Jehovah
( Isa 6:2 ).