"Can I say: How dare you speak or talk to me like that?" Yes, you can. You can't always interchange "speak" and "talk", but in your example they do have the same meaning and are completely interchangeable.

Talk and speak are synonyms (mean the same thing). This means you can often use either or, but at times, like Mcor said, one may be more appropriate. As a rule they are interchangeable.

thank you very much:-

An added comment is to consider the difference between I talked with my friend, and I talked to my friend. Using with suggests equality and shared conversation, whereas talked to can be more one way or direct, or even suggest a power difference in a conversation. You can speak to a group, and then talk with individuals afterwards. Speak can be to yourself, just practicing making speech, or including being able to speak 3 languages as noted in the first comment,. or more one sided towards someone.

I think 'speak' entails a one sided conversation, formal and polite in tone e.g. I spoke to my colleagues / I speak 3 languages / How dare you speak to me like that! 'talk' could involve 2 or more people e.g. We talked about the weather My best friend and I regularly talk on the phone to each other