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briogaistrousersfeminine noun
the
a' bhriogais
after a preposition
a' bhriogais
of the
na briogaise
plural
briogaisean
the (plural)
na briogaisean

Every form but the headword, the genitive and the plural is worked out by the spelling rules in the grammar guide, so what you see here is what the guide teaches. Checked by a fluent speaker.