Som hoeken is 180 graden

Som180GradenScherp
007e - Som hoeken is 180 graden - 0ms

3p

L66°M58°K?Gegeven is \(\triangle K\kern{-.8pt}L\kern{-.8pt}M\) met \(\angle L = 66\degree\) en \(\angle M = 58\degree \text{.}\)
Bereken \(\angle \text{K} \text{.}\)
Rond indien nodig af op één decimaal.




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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

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Dus \(\angle K = 180\degree - \angle L - \angle M \text{.}\)

1p

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\(\angle K = 180\degree - 66\degree - 58\degree = 56\degree \text{.}\)

1p

Som180GradenStomp
007f - Som hoeken is 180 graden - 2ms

3p

Q35°R40°P?Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle Q = 35\degree\) en \(\angle R = 40\degree \text{.}\)
Bereken \(\angle \text{P} \text{.}\)
Rond indien nodig af op één decimaal.




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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

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Dus \(\angle P = 180\degree - \angle Q - \angle R \text{.}\)

1p

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\(\angle P = 180\degree - 35\degree - 40\degree = 105\degree \text{.}\)

1p