My dad died of angina, am I more likely to get it?

Yes. Your dad likely died of the medical conditions that cause angina - atherosclerotic cardiovascular disease and hypertensive cardiovascular disease. These diseases are passed on in families. So you have a likely chance to also have those diseases.
Yes but. This is the 21st century. If you choose a fitness lifestyle and perhaps accept medication, you are unlikely to die of angina or coronary artery atherosclerosis despite your family history.