Getal & Ruimte (13e editie) - 1 vwo
'Som hoeken is 180 graden'.
| 1 vwo | 5.6 Hoeken in vlakke figuren |
opgave 13p a Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle C=74\degree\) en \(\angle A=75\degree\text{.}\) 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 \(\angle C+\angle A+\angle B=180\degree\text{.}\) 1p ○ Dus \(\angle B=180\degree-\angle C-\angle A\text{.}\) 1p ○ \(\angle B=180\degree-74\degree-75\degree=31\degree\text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle P=32\degree\) en \(\angle Q=39\degree\text{.}\) 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 \(\angle P+\angle Q+\angle R=180\degree\text{.}\) 1p ○ Dus \(\angle R=180\degree-\angle P-\angle Q\text{.}\) 1p ○ \(\angle R=180\degree-32\degree-39\degree=109\degree\text{.}\) 1p |