The jury took four and a half hours to reach the two unanimous guilty verdicts.
As the guilty verdict was read out on the murder charge, there were gasps from the public gallery and some of Rigby's relatives left the court in tears.
Rigby, dressed in a grey suit, shirt and tie, put his head in his hands as the verdict was given.
Smedley, dressed all in black and with her dark hair tied back, appeared to be struggling to hold back tears when the jury announced her guilty verdict.
More top news
Mr Trump addressed thousands of supporters in Florida on Tuesday and responded to the mixed reviews he received during the debate.
Parents in Anglesey, North Wales, will have to show birth certificates in order to prove their child's age and qualify for the scheme.
Former Israeli president Shimon Peres dies, aged 93, following a stroke two weeks ago.