Question

Answer 1

a) Ta có: 

`∠xMp=50^o`

`∠MPQ=50^o`

`=>∠xMP=∠MPQ=50^o`

Mà hai góc này so le trong 

`=>xy`//`zt` 

b) Ta có:

`xy`//`zt` 

`=>∠MNQ+∠NQP=180^o` (trong cùng phía)

`=>∠NQP=180^o-75^o`

`=>∠NQP=105^o` 

Answer 2

a) Ta có :

\(\widehat{MPQ}=\widehat{xMP}=50^o\left(gt\right)\)

mà \(\widehat{MPQ}\&\widehat{xMP}\) ở vị trí so le trong

\(\Rightarrow xy//zt\left(đpcm\right)\)

b) \(\widehat{NQP}=\widehat{yNQ}=75^o\left(so.le.trong\right)\)

\(\widehat{MNQ}=180^o-\widehat{yNQ}=180^o-75^o=105^o\left(kề.bù\right)\)