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 \(\angle M=64\degree\) en \(\angle K=63\degree\text{.}\) 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 \(\angle M+\angle K+\angle L=180\degree\text{.}\) 1p ○ Dus \(\angle L=180\degree-\angle M-\angle K\text{.}\) 1p ○ \(\angle L=180\degree-64\degree-63\degree=53\degree\text{.}\) 1p 3p b Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle B=31\degree\) en \(\angle C=35\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 3ms b De som van de hoeken in \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) geeft \(\angle B+\angle C+\angle A=180\degree\text{.}\) 1p ○ Dus \(\angle A=180\degree-\angle B-\angle C\text{.}\) 1p ○ \(\angle A=180\degree-31\degree-35\degree=114\degree\text{.}\) 1p |