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 \(\angle K=69\degree\) en \(\angle L=56\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis 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 ○ \(\angle M=180\degree-69\degree-56\degree=55\degree\text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle P=37\degree\) en \(\angle Q=36\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis 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 ○ \(\angle R=180\degree-37\degree-36\degree=107\degree\text{.}\) 1p |