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 \(\angle C = 55\degree\) 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 ○ \(\angle B = 180\degree - 55\degree - 68\degree = 57\degree \text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle M = 33\degree\) en \(\angle K = 35\degree \text{.}\) 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 ○ \(\angle L = 180\degree - 33\degree - 35\degree = 112\degree \text{.}\) 1p |