¿Cup or mug?

What's is the difference between a cup and a mug?
I have a cup of tea or
I have a mug of tea
¿Which is the right word? Both?

una taza de té es cup of tea

una jarra cervecera  beer mug 

pero una taza de café coffee mug es una taza más grande relacionado a café 

¿Cup or mug?

What's is the difference between a cup and a mug?
I have a cup of tea or
I have a mug of tea
¿Which is the right word? Both?

Answer:

Tricky one this one. You must say cup of tea but a cup of tea is actually served in a mug. Mug just meaning a cup with a small handle.

Cup or mug?

What's the difference between "cup" and "mug" ?
I'll have a cup of tea.

I'll have a mug of tea.

Which is the right word? Both?

In this example, "cup" is the right word. 

A "mug" is what tea is served in, but you will use "cup" to state that you would like tea. 

I'll have a cup of tea. 

May I have a cup of tea?

¿Cup or mug?

What's is the difference between a cup and a mug?
I have a cup of tea or
I have a mug of tea
¿Which is the right word? Both?

Answer:

Tricky one this one. You must say cup of tea but a cup of tea is actually served in a mug. Mug just meaning a cup with a small handle.