Getal & Ruimte (13e editie) - 1 havo/vwo
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L = 72\degree\) en \(\angle M = 75\degree \text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 0ms a De som van de hoeken in \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) geeft \(\angle L + \angle M + \angle K = 180\degree \text{.}\) 1p ○ Dus \(\angle K = 180\degree - \angle L - \angle M \text{.}\) 1p ○ \(\angle K = 180\degree - 72\degree - 75\degree = 33\degree \text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle P = 32\degree\) en \(\angle Q = 35\degree \text{.}\) 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 \(\angle P + \angle Q + \angle R = 180\degree \text{.}\) 1p ○ Dus \(\angle R = 180\degree - \angle P - \angle Q \text{.}\) 1p ○ \(\angle R = 180\degree - 32\degree - 35\degree = 113\degree \text{.}\) 1p |