Answer:
[tex]\tt \angle QTS=1/2(m\:\widehat {sQ}-m\:\widehat{RP}[/tex]
[tex]\tt =1/2(154^{o}-80^{o})[/tex]
[tex]\tt =1/2(74^{o})[/tex]
[tex]\boxed{\tt m\angle QTS=37^{o}}[/tex]
~
[tex]\tt m\angle GKI=1/2(m\:\widehat{GI}+m\widehat{JH})[/tex]
[tex]\tt 55=1/2(76+m\:\widehat{JH})[/tex]
[tex]\tt 55(2)=76+m\: \widehat{JH}[/tex]
[tex]\tt 110+76=m\:\widehat{JH}[/tex]
[tex]\boxed{\tt m\:\widehat{JH}=34^{o}}[/tex]
~
