Getal & Ruimte (13e editie) - 1 havo/vwo
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle B = 65\degree\) en \(\angle C = 51\degree \text{.}\) 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 ○ \(\angle A = 180\degree - 65\degree - 51\degree = 64\degree \text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle R = 31\degree\) en \(\angle P = 33\degree \text{.}\) 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 \(\angle R + \angle P + \angle Q = 180\degree \text{.}\) 1p ○ Dus \(\angle Q = 180\degree - \angle R - \angle P \text{.}\) 1p ○ \(\angle Q = 180\degree - 31\degree - 33\degree = 116\degree \text{.}\) 1p |