Getal & Ruimte (13e editie) - 1 vwo
'Som hoeken is 180 graden'.
| 1 vwo | 5.6 Hoeken in vlakke figuren |
opgave 13p a Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L=71\degree\) en \(\angle M=64\degree\text{.}\) 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 ○ \(\angle K=180\degree-71\degree-64\degree=45\degree\text{.}\) 1p 3p b Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle C=34\degree\) en \(\angle A=37\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 4ms b De som van de hoeken in \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) geeft \(\angle C+\angle A+\angle B=180\degree\text{.}\) 1p ○ Dus \(\angle B=180\degree-\angle C-\angle A\text{.}\) 1p ○ \(\angle B=180\degree-34\degree-37\degree=109\degree\text{.}\) 1p |