Getal & Ruimte (13e editie) - 1 vwo
'Som hoeken is 180 graden'.
| 1 vwo | 5.6 Hoeken in vlakke figuren |
opgave 13p a Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle A=69\degree\) en \(\angle B=52\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 0ms a 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 ○ \(\angle C=180\degree-69\degree-52\degree=59\degree\text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle K=34\degree\) en \(\angle L=36\degree\text{.}\) 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 ○ \(\angle M=180\degree-34\degree-36\degree=110\degree\text{.}\) 1p |