be mad at和be angry with的具体用法不同，be angry with后接人，生某人的气；be mad at表示对某人或某事很生气、很气愤。angry使用范围广泛，通常用于形容人们的情绪、行为、表情、语言等，也用于形容动物或事物，常后接介词with/at。
You're just mad at me because I don't want to go.
因为我不想去，你就对我火冒三丈。
Don't get mad at me. I did it all for your own good.
别生我的气,我这样做完全是为了你好。
While I was angry with her, I didn't lose my temper.
虽然我很生气，但我当时没有对她发脾气。
Please don't be angry with me.
请不要生我的气。
We were angry with him for keeping us waiting.
我们对他让我们久等而生气。