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 \(\angle R = 74\degree\) en \(\angle P = 75\degree \text{.}\) 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 ○ \(\angle Q = 180\degree - 74\degree - 75\degree = 31\degree \text{.}\) 1p 3p b Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle A = 37\degree\) en \(\angle B = 38\degree \text{.}\) 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 ○ \(\angle C = 180\degree - 37\degree - 38\degree = 105\degree \text{.}\) 1p |