Getal & Ruimte (13e editie) - 1 vwo

'Som hoeken is 180 graden'.

1 vwo 5.6 Hoeken in vlakke figuren

Som hoeken is 180 graden (2)

opgave 1

3p

a

Q52°R58°P?Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle Q = 52\degree\) en \(\angle R = 58\degree \text{.}\)
Bereken \(\angle \text{P} \text{.}\)
Rond indien nodig af op één decimaal.




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

a

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

○

\(\angle P = 180\degree - 52\degree - 58\degree = 70\degree \text{.}\)

1p

3p

b

R31°P33°Q?Gegeven is \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) met \(\angle R = 31\degree\) en \(\angle P = 33\degree \text{.}\)
Bereken \(\angle \text{Q} \text{.}\)
Rond indien nodig af op één decimaal.




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

b

De som van de hoeken in \(\triangle P\kern{-.8pt}Q\kern{-.8pt}R\) geeft \(\angle R + \angle P + \angle Q = 180\degree \text{.}\)

1p

○

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

1p

○

\(\angle Q = 180\degree - 31\degree - 33\degree = 116\degree \text{.}\)

1p
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