Getal & Ruimte (13e editie) - havo wiskunde B
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle A\kern{-.8pt}B\kern{-.8pt}C\) met \(\angle C=68\degree\) en \(\angle A=68\degree\text{.}\) 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 \(\angle C+\angle A+\angle B=180\degree\text{.}\) 1p ○ Dus \(\angle B=180\degree-\angle C-\angle A\text{.}\) 1p ○ \(\angle B=180\degree-68\degree-68\degree=44\degree\text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle M=32\degree\) en \(\angle K=31\degree\text{.}\) 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 \(\angle M+\angle K+\angle L=180\degree\text{.}\) 1p ○ Dus \(\angle L=180\degree-\angle M-\angle K\text{.}\) 1p ○ \(\angle L=180\degree-32\degree-31\degree=117\degree\text{.}\) 1p |