Getal & Ruimte (13e editie) - vwo wiskunde B
'Som hoeken is 180 graden'.
| 1 vwo | 5.6 Hoeken in vlakke figuren |
opgave 13p a Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle A=66\degree\) en \(\angle B=64\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 1ms a De som van de hoeken in \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) geeft \(\angle A+\angle B+\angle C=180\degree\text{.}\) 1p ○ Dus \(\angle C=180\degree-\angle A-\angle B\text{.}\) 1p ○ \(\angle C=180\degree-66\degree-64\degree=50\degree\text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle M=35\degree\) en \(\angle K=31\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 4ms b 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 ○ \(\angle L=180\degree-35\degree-31\degree=114\degree\text{.}\) 1p |