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This term is derived from an Arabic root that means the upper arm. Idhtibaa‘means wrapping the garment under the right armpit and rolling the two edges over the left arm, so that the right shoulder is exposed and the left is covered. It is so-called because one of the upper arms is exposed – something which was done if someone wanted to prepare to work, which is what the pilgrim does when wearing his Ihraam garments.
@glossary of hajj terms