Giải:
Ta có: AM nằm giữa AB, AC
\(\Rightarrow\widehat{BAM}+\widehat{CAM}=\widehat{BAC}\)
\(\Rightarrow\widehat{BAM}+\widehat{CAM}=110^o\)
\(\Rightarrow\frac{1}{2}\left(\widehat{BAM}+\widehat{CAM}\right)=55^o\)
\(\Rightarrow\frac{1}{2}\widehat{BAM}+\frac{1}{2}\widehat{CAM}=55^o\)
\(\Rightarrow\widehat{IAM}+\widehat{KAM}=55^o\)
AM nằm giữa AI, AK
\(\Rightarrow\widehat{IAK}=55^o\)
b) Ta có: KB gấp đôi IM mà KB = 5 cm ( đề bài )
\(\Rightarrow IM=\frac{1}{2}KB=\frac{1}{2}.5=2,5\left(cm\right)\)
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