Getal & Ruimte (13e editie) - 1 vwo
'Som hoeken is 180 graden'.
| 1 vwo | 5.6 Hoeken in vlakke figuren |
opgave 13p a Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle Q = 64\degree\) en \(\angle R = 71\degree \text{.}\) 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 \(\angle Q + \angle R + \angle P = 180\degree \text{.}\) 1p ○ Dus \(\angle P = 180\degree - \angle Q - \angle R \text{.}\) 1p ○ \(\angle P = 180\degree - 64\degree - 71\degree = 45\degree \text{.}\) 1p 3p b Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle B = 40\degree\) en \(\angle C = 32\degree \text{.}\) 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 \(\angle B + \angle C + \angle A = 180\degree \text{.}\) 1p ○ Dus \(\angle A = 180\degree - \angle B - \angle C \text{.}\) 1p ○ \(\angle A = 180\degree - 40\degree - 32\degree = 108\degree \text{.}\) 1p |