Getal & Ruimte (13e editie) - 1 vwo
'Som hoeken is 180 graden'.
| 1 vwo | 5.6 Hoeken in vlakke figuren |
opgave 13p a Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle R=71\degree\) en \(\angle P=62\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 1ms a De som van de hoeken in \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) geeft \(\angle R+\angle P+\angle Q=180\degree\text{.}\) 1p ○ Dus \(\angle Q=180\degree-\angle R-\angle P\text{.}\) 1p ○ \(\angle Q=180\degree-71\degree-62\degree=47\degree\text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L=35\degree\) en \(\angle M=36\degree\text{.}\) 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 \(\angle L+\angle M+\angle K=180\degree\text{.}\) 1p ○ Dus \(\angle K=180\degree-\angle L-\angle M\text{.}\) 1p ○ \(\angle K=180\degree-35\degree-36\degree=109\degree\text{.}\) 1p |