a) \(\widehat{IBC}=\frac{1}{2}\widehat{B}=\frac{1}{2}.80^0=40^0\)
\(\widehat{ICB}=\frac{1}{2}.\widehat{C}=\frac{1}{2}.40^0=20^0\)
\(\Rightarrow\widehat{BIC}=180^0-\widehat{IBC}-\widehat{ICB}=180^0-40^0-20^0=120^0\)
b) Ta có : \(\widehat{A}=80^0\)
\(\Rightarrow\widehat{B}+\widehat{C}=180^0-\widehat{A}=180^0-80^0=100^0\)
\(\Rightarrow\widehat{IBC}+\widehat{ICB}=\frac{\widehat{B}+\widehat{C}}{2}=\frac{100^0}{2}=50^0\)
\(\Rightarrow\widehat{BIC}=180^0-\left(\widehat{IBC}+\widehat{ICB}\right)=180^0-50^0=130^0\)