Getal & Ruimte (13e editie) - vwo wiskunde B
'Som hoeken is 180 graden'.
| 1 vwo | 5.6 Hoeken in vlakke figuren |
opgave 13p a Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L = 75\degree\) 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 ○ \(\angle K = 180\degree - 75\degree - 75\degree = 30\degree \text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L = 31\degree\) en \(\angle M = 35\degree \text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 2ms b 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 ○ \(\angle K = 180\degree - 31\degree - 35\degree = 114\degree \text{.}\) 1p |