+383
Find the value of $x$ in the diagram below.\([asy] size( 200 ) ; pair ll = origin ; pair lr = origin+dir(0) ; pair ul = extension( ll,ll+dir(90) , lr,lr+dir(120) ) ; pair ur = extension( ul,ul+dir(0) , lr,lr+dir(30) ) ; draw( ll--lr--ur--ul--cycle ) ; draw(rightanglemark( lr,ll,ul, 7 )) ; draw(rightanglemark( ll,ul,ur, 7 )) ; draw( lr--ul , dashed ) ; draw(rightanglemark(ur,lr,ul , 7 )) ; label( "$1$" , ll--lr , S ) ; label( "$x$" , ul--ur , N ) ; label( "$60^{\circ}$" , lr , 2.5dir(155) ) ; [/asy]\)
