a,Vì IE là p/g góc AIC nên \(\widehat{CIE}=\dfrac{1}{2}\widehat{AIC}=\dfrac{1}{2}\cdot90^0=45^0\)
\(\Rightarrow\widehat{BIE}=\widehat{BIC}+\widehat{CIE}=90^0+45^0=135^0\)
b,Ta có \(\left\{{}\begin{matrix}\widehat{CIE}=\widehat{DIF}\\\widehat{AIE}=\widehat{BIF}\end{matrix}\right.\left(đối.đỉnh\right)\)
Mà \(\widehat{CIE}=\widehat{AIE}\left(IE.là.phân.giác\right)\)
Do đó \(\widehat{DIF}=\widehat{BIF}\)
Vậy IF là p/g góc BID