Getal & Ruimte (13e editie) - 1 havo/vwo
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle K=75\degree\) en \(\angle L=61\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 1ms a De som van de hoeken in \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) geeft \(\angle K+\angle L+\angle M=180\degree\text{.}\) 1p ○ Dus \(\angle M=180\degree-\angle K-\angle L\text{.}\) 1p ○ \(\angle M=180\degree-75\degree-61\degree=44\degree\text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle R=34\degree\) en \(\angle P=40\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 2ms b De som van de hoeken in \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) geeft \(\angle R+\angle P+\angle Q=180\degree\text{.}\) 1p ○ Dus \(\angle Q=180\degree-\angle R-\angle P\text{.}\) 1p ○ \(\angle Q=180\degree-34\degree-40\degree=106\degree\text{.}\) 1p |