African country airing broadcast about capital of Ethiopia (7)
I believe the answer is:
nigeria
'african country' is the definition.
(country in Africa)
'airing broadcast about capital of ethiopia' is the wordplay.
'broadcast' indicates anagramming the letters (letters scattered or cast around).
'about' indicates putting letters inside.
'capital of' says to take the initial letters.
The initial letter of 'ethiopia' is 'e'.
'airing' with letters rearranged gives 'nigria'.
'nigria' going around 'e' is 'NIGERIA'.
(Other definitions for nigeria that I've seen before include "African republic, capital Abuja" , "African country, capital Abuja" , "Republic in West Africa" , "Possible home for African" , "In rage I turn to this country" .)