An argument relies on a. interests and opinions b. opinions and assumptions c. facts and evidence d. news and politics

C facts and evidence.
In an argument you need facts and evidence to back up your side. For example, in an argumentative essay you need to provide evidence from texts to prove your point. You can't use opinions so the first two options are gone and the last one is definitely out because not every argument involves politics or the news.

C. facts and evidence