a) BC\bot AB, BC\bot SA\Rightarrow BC\bot (SAB)
(ABC)\cap (SBC)=BC
\Rightarrow ((SBC),(ABC))=\widehat{SBA}
\tan \widehat{SBA}=\dfrac{SA}{AB}=\sqrt3\Rightarrow ((SBC),(ABCD))=60^\circ
b) ((SAB),(SAC))=AS; SA\bot (ABC)
\Rightarrow ((SAB),(SAC))=\widehat{BAC}=45^\circ
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