VÌ $AM,AN$ là hai tia đối nhau nên $\widehat{MAN}=180^{\circ}$

=> $\widehat{MAP},\widehat{PAN}$ kề bù => $\widehat{MAP}+\widehat{PAN}=180^{\circ}$

=> $\widehat{PAN}=180^{\circ}-\widehat{MAP}=180^{\circ}-33^{\circ}=147^{\circ}$

Vì tia $AQ$ nằm giữa hai tia $AN,AP$ nên $\widehat{QAP}+\widehat{QAN}=\widehat{PAN}$

=> $\widehat{QAP}=\widehat{PAN}-\widehat{QAN}$

=> $x=14^{\circ}-58^{\circ}=89^{\circ}$

Vậy $x=89^{\circ}$.