The blood tests won't show he has angina, but may indicate he could have problems, or indicate something else entirely.
If your father is not panicking, and his doctor is happy, then really it is only you we need to deal with now. :)
Have a bit of faith. Believe me,if your father had the chest pains associated with angina, he would be insisting on help.
Talk to your father. Tell him how worried you are, and ask him to allow you to go and speak to the GP with him, just to put your mind at rest. If he is like most men, he won't mind subjecting his GP to a woman's worries - it saves his own pride. :)