\(5,\\ \left\{{}\begin{matrix}AB\perp AD\\CD\perp AD\end{matrix}\right.\Rightarrow AB//CD\\ \Rightarrow\widehat{ABC}+\widehat{BCD}=180^0\left(2.góc.TCP\right)\\ \Rightarrow60^0+\widehat{BCD}=180^0\\ \Rightarrow\widehat{BCD}=120^0\)
\(6,\\ a,\left\{{}\begin{matrix}a\perp AB\\a//b\end{matrix}\right.\Rightarrow b\perp AB\\ b,a//b\Rightarrow\widehat{C}+\widehat{D}=180^0\left(2.góc.TCP\right)\\ \Rightarrow\widehat{D}=180^0-120^0=60^0\\ c,\widehat{ICD}=\dfrac{1}{2}\widehat{ACD}=\dfrac{1}{2}\cdot120^0=60^0\left(t/c.phân.giác\right)\\ \Delta CID.có:\widehat{CID}+\widehat{IDC}+\widehat{ICD}=180^0\\ \Rightarrow60^0+60^0+\widehat{CID}=180^0\\ \Rightarrow\widehat{CID}=60^0\)