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 \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle R=75\degree\) en \(\angle P=54\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 0ms a De som van de hoeken in \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) geeft \(\angle R+\angle P+\angle Q=180\degree\text{.}\) 1p ○ Dus \(\angle Q=180\degree-\angle R-\angle P\text{.}\) 1p ○ \(\angle Q=180\degree-75\degree-54\degree=51\degree\text{.}\) 1p 3p b Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle A=37\degree\) en \(\angle B=31\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 2ms b 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 ○ \(\angle C=180\degree-37\degree-31\degree=112\degree\text{.}\) 1p |