The husband's brother is a brother-in-law to the wife. The wife's brother is a brother-in-law to the husband. However, the husband's brother is not related to the wife's brother.
Nothing, your husband's brother is your brother in law but his wife isnt related
Your wife's sister's husband is your wife's brother-in-law, but is not related to you.
Your Brother in law's wife
Your husband's brother is your brother-in-law but his wife is not related to you.
Your husband's brother is your brother-in-law. The English language has no special term for your relationship to his wife. Most people simply refer to "brother-in-law's wife."Of course, to you husband his brother's wife is his sister-in-law.
You are not related to the wife your mother's sister's husband's brother.
Your husband's brother is your brother-in-law. Your brother-in-law's wife is not related to you, but is your husband's sister-in-law. The sister of your husband's sister-in-law is not related to you or to your husband.
Your husband/wife's brother.
Your husband's brother's wife or your husband's sister's husband have no relation to you. Your brother's or sister's wife or husband is called a sister or brother in-law. You are only related by the marriage between them and your sibling.
In the cultures based on the European languages, your wife's sister is your sister-in-law. Her husband is not related to you. In India, a wife's sister's husband may be called "Co-Brother."
Your spouse's sister is your sister-in-law and your spouse's brother is your brother-in-law. The English language has no term for a relationship between you and the wife of your brother-in-law or the husband of your sister-in-law. The best you can do in English is to use "my sister-in-law's husband" and similar phrases.