Placing lines an equal distance apart in a Circle

west,

I agree with Carlos that the Polar Grid Tool is the template to use.

But "The objective is to use to determine the degree of ofsetting an object on a tilted axis." makes me suggest your considering another approach which will give the accurate angle rather than the (hopefully) nearest whole number of degrees.

Depending on the shape of the object, and its (desired) poistioning relative to the tilted axis, you can use the tilted axis itself and possibly the Line Segment Tool (see the Advanced Toolbar and instructions in the links below) in different ways with the help of Smart Guides being your friends telling when you are within snapping distance.

https://helpx.adobe.com/illustrator/using/tools.html

https://helpx.adobe.com/illustrator/using/drawing-simple-lines-shapes.html

If you can describe or preferably show (something representing) the object and the tilted axis in a screenshot here, specific suggestions can be made.

Unknown to most, it is quite easy to directly show images in posts, hence the following general suggestion:

Please show images by using the Insert Photos button (looks like moon over mountains) for each at the top of the reply box which makes everything appear right there in your post together with your text, rather than he more conspicuous Drag&drop attachment which requires helpers to open a new tab for each image and wait for its showing, then go back and forth; and if they just click it and wait for its showing and press the X to get back to the text, the image is gone so they have to open it again and wait to see it again.