`***`Lời giải`***`
Ta có: `ABCD` là hình thang(gt)
`=>`$AB//CD$
`=>\hat{A}+\hat{D}=180^o`
Mà `\hat{A}=3\hat{D}`(gt)
`=>4\hat{D}=180^o`
`<=>\hat{D}=45^o`
`=>\hat{A}=3.\hat{D}=3.45=135^o`
Ta lại có: $AB//CD$(cmt)
`=>\hat{B}+\hat{C}=180^o`
Mà `\hat{B}-\hat{C}=30^o`(gt)
`=>2\hat{B}=210^o`
`<=>\hat{B}=105^o`
`=>\hat{C}=180-\hat{B}=180-105=75^o`