Bài 5:
Theo hình vẽ, ta có: Bx//ab//Dy
Ta có: Bx//ab
=>\(\widehat{xBC}=\widehat{bCB}\)(hai góc so le trong)
mà \(\widehat{xBC}=40^0\)
nên \(\widehat{bCB}=40^0\)
Ta có: ab//Dy
=>\(\widehat{bCD}=\widehat{yDC}\)(hai góc so le trong)
mà \(\widehat{yDC}=25^0\)
nên \(\widehat{bCD}=25^0\)
\(\widehat{BCD}=\widehat{bCB}+\widehat{bCD}\)
\(=25^0+40^0\)
\(=65^0\)
Bài 6:
Theo hình vẽ, ta có: Ex//ab//Gy
Ta có: Ex//ab
=>\(\widehat{bDE}+\widehat{E}=180^0\)(hai góc trong cùng phía)
=>\(\widehat{bDE}+140^0=180^0\)
=>\(\widehat{bDE}=180^0-140^0=40^0\)
ab//Gy
=>\(\widehat{bDG}=\widehat{yGD}\)(hai góc so le trong)
mà \(\widehat{yGD}=30^0\)
nên \(\widehat{bDG}=30^0\)
\(\widehat{EDG}=\widehat{bDE}+\widehat{bDG}\)
\(=30^0+40^0\)
\(=70^0\)