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Place the cursor next to the text where you would like to have a hanging indent. You can also set the hanging indent before you start typing. Open Office will use this formatting style as a default.   Close the formatting window you used previously.  Click "Format" from the menu. Select "Paragraph" from the list of formatting options. Click on the "Indents & Spacing" section. You should see the words "Before text" and "First line." Use the up and down arrow buttons to increase or decrease the hanging indent.

Summary:
Open your document in Open Office. Type some text into the document. Select the "Styles and Formatting" window located in the drop down menu. Select "Hanging Indent" from the formatting options. Adjust the amount of indent from the default in the paragraph formatting toolbar.