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 \(\angle L=51\degree\) en \(\angle M=70\degree\text{.}\) 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 \(\angle L+\angle M+\angle K=180\degree\text{.}\) 1p ○ Dus \(\angle K=180\degree-\angle L-\angle M\text{.}\) 1p ○ \(\angle K=180\degree-51\degree-70\degree=59\degree\text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle K=31\degree\) en \(\angle L=38\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 2ms b 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 ○ \(\angle M=180\degree-31\degree-38\degree=111\degree\text{.}\) 1p |