Getal & Ruimte (12e editie) - havo wiskunde B
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle M=55\degree\) en \(\angle K=63\degree\text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 1ms a 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 ○ \(\angle L=180\degree-55\degree-63\degree=62\degree\text{.}\) 1p 3p b Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle Q=35\degree\) en \(\angle R=34\degree\text{.}\) Som180GradenStomp 007f - Som hoeken is 180 graden - basis - 4ms b De som van de hoeken in \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) geeft \(\angle Q+\angle R+\angle P=180\degree\text{.}\) 1p ○ Dus \(\angle P=180\degree-\angle Q-\angle R\text{.}\) 1p ○ \(\angle P=180\degree-35\degree-34\degree=111\degree\text{.}\) 1p |