Getal & Ruimte (13e editie) - havo wiskunde B
'Som hoeken is 180 graden'.
| 1 havo/vwo | 5.6 Hoekensom driehoek |
opgave 13p a Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle M = 57\degree\) en \(\angle K = 56\degree \text{.}\) Som180GradenScherp 007e - Som hoeken is 180 graden - basis - 0ms 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 ○ \(\angle L = 180\degree - 57\degree - 56\degree = 67\degree \text{.}\) 1p 3p b Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L = 34\degree\) en \(\angle M = 32\degree \text{.}\) 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 ○ \(\angle K = 180\degree - 34\degree - 32\degree = 114\degree \text{.}\) 1p |