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 \(\angle L = 61\degree\) en \(\angle M = 73\degree \text{.}\) 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 ○ \(\angle K = 180\degree - 61\degree - 73\degree = 46\degree \text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle K = 37\degree\) en \(\angle L = 32\degree \text{.}\) 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 \(\angle K + \angle L + \angle M = 180\degree \text{.}\) 1p ○ Dus \(\angle M = 180\degree - \angle K - \angle L \text{.}\) 1p ○ \(\angle M = 180\degree - 37\degree - 32\degree = 111\degree \text{.}\) 1p |