Getal & Ruimte (13e editie) - 1 vwo
'Som hoeken is 180 graden'.
| 1 vwo | 5.6 Hoeken in vlakke figuren |
opgave 13p a Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle K = 63\degree\) en \(\angle L = 75\degree \text{.}\) 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 \(\angle K + \angle L + \angle M = 180\degree \text{.}\) 1p ○ Dus \(\angle M = 180\degree - \angle K - \angle L \text{.}\) 1p ○ \(\angle M = 180\degree - 63\degree - 75\degree = 42\degree \text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle M = 32\degree\) en \(\angle K = 31\degree \text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 3ms b De som van de hoeken in \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) geeft \(\angle M + \angle K + \angle L = 180\degree \text{.}\) 1p ○ Dus \(\angle L = 180\degree - \angle M - \angle K \text{.}\) 1p ○ \(\angle L = 180\degree - 32\degree - 31\degree = 117\degree \text{.}\) 1p |