Bài 5:
a) Ta có: AB⊥AD,DC⊥AD
=> AB//DC
b) Ta có: AB//DC
\(\Rightarrow\widehat{ABC}+\widehat{C}=180^0\)(trong cùng phía)
\(\Rightarrow\widehat{ABC}=180^0-45^0=135^0\)
Bài 6:
a) Ta có: AB//CD
\(\Rightarrow\widehat{B}+\widehat{C}=180^0\)(trong cùng phía)
\(\Rightarrow\widehat{B}=180^0-120^0=60^0\)
Ta có: AB//CD,AB⊥AD
=> AD⊥DC
Bài 8:
a) \(\widehat{ACD}+\widehat{C}=180^0\)(kề bù)
\(\Rightarrow\widehat{ACD}=180^0-55^0=125^0\)
b) Ta có: \(\widehat{C}+\widehat{D}=55^0+125^0=180^0\)
Mà 2 góc này trong cùng phía
=> AC//BD
c) Ta có: AC//BD,AC⊥AB
=> AB⊥BD