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 \(\angle B=69\degree\) en \(\angle C=52\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 0ms a 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 ○ \(\angle A=180\degree-69\degree-52\degree=59\degree\text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle P=39\degree\) en \(\angle Q=32\degree\text{.}\) 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 ○ \(\angle R=180\degree-39\degree-32\degree=109\degree\text{.}\) 1p |