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 \(\angle B = 64\degree\) en \(\angle C = 62\degree \text{.}\) 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 ○ \(\angle A = 180\degree - 64\degree - 62\degree = 54\degree \text{.}\) 1p 3p b Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle A = 34\degree\) en \(\angle B = 36\degree \text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 3ms 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 ○ \(\angle C = 180\degree - 34\degree - 36\degree = 110\degree \text{.}\) 1p |