Le plan - 5e

Angles

Exercice 1 : Reconnaître des angles opposés par le sommet

On considère la figure ci-dessous :

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Donner, si possible, le nom de l'angle opposé par le sommet à l'angle \(\widehat{ACK}\).

\(\widehat{ACL}\)
\(\widehat{KCO}\)
\(Aucun\)
\(\widehat{LCO}\)

Donner, si possible, le nom de l'angle opposé par le sommet à l'angle \(\widehat{CLE}\).

\(Aucun\)
\(\widehat{JLO}\)
\(\widehat{ILO}\)
\(\widehat{ELK}\)

Donner, si possible, le nom de l'angle opposé par le sommet à l'angle \(\widehat{COH}\).

\(\widehat{AOH}\)
\(Aucun\)
\(\widehat{BOL}\)
\(\widehat{GOH}\)

Donner, si possible, le nom de l'angle opposé par le sommet à l'angle \(\widehat{CKO}\).

\(\widehat{IKO}\)
\(Aucun\)
\(\widehat{GKL}\)
\(\widehat{GKJ}\)

Exercice 2 : Angles alternes internes et angles complémentaires

Sachant que, dans la figure ci-dessous : \[ \left(BC\right) // \left(DE\right) \\ \widehat{IFD} = 75° \\ \widehat{FDE} = 38° \]

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Quelle est la mesure de l'angle \(\widehat{CFI}\) ?

Exercice 3 : Angles alternes externes

Les 2 droites horizontales sont parallèles, une troisième les coupe comme sur la figure ci-dessous. Si on sait que l'angle bleu vaut \(81\) degrés, quelle est la mesure de l'angle orange ?

{"init": {"range": [[-4.0, 4.0], [-3.0, 3.0]], "scale": [60, 60]}, "line": [[[-3.0, -1.0], [3.0, -1.0], {"subtype": "segment"}], [[-3.0, 1.0], [3.0, 1.0], {"subtype": "segment"}], [[-0.31676888064907266, -2.0], [0.31676888064907266, 2.0], {"subtype": "segment"}]], "arc": [[[-0.15838444032453633, -1.0], [0.3, 0.3], 180.0, 261.0, false, {"stroke": "orange"}], [[0.15838444032453633, 1.0], [0.3, 0.3], 0.0, 81.0, false, {"stroke": "blue"}]], "label": [[[0.3865062300045456, 1.194834414499055], "81\u00b0", "above right", {"color": "blue"}]]}

Exercice 4 : Tous les angles de même mesure

Dans la figure ci-dessous, les droites \( (p) \) et \( (q) \) sont parallèles.

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Quels sont les angles de même mesure que l'angle 1 ?

Exercice 5 : Angles correspondants

Les 2 droites horizontales sont parallèles, une troisième les coupe comme sur la figure ci-dessous. Si on sait que l'angle bleu vaut 147 degrés, quelle est la mesure de l'angle orange ?

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