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Aula: Soma dos Ângulos Internos de Quadriláteros

Atividade • 21 Questões

Q1:

𝐴 𝐡 𝐢 𝐷 Γ© um quadrilΓ‘tero onde π‘š ( ο‚— 𝐴 ) = 1 6 5 ∘ , π‘š ( 𝐴 ο‚— 𝐡 𝐢 ) = 4 π‘₯ ∘ , π‘š ( 𝐡 ο‚— 𝐢 𝐷 ) = 4 π‘₯ ∘ , e π‘š ( 𝐢 ο‚— 𝐷 𝐴 ) = 5 π‘₯ ∘ . Qual Γ© o valor de π‘₯ ?

Q2:

Na figura apresentada, π‘š ( ο‚— 𝐴 ) = 7 4 ∘ e π‘š ( ο‚— 𝐢 ) = 9 2 ∘ . Determina π‘š ( ο‚— 𝐷 ) .

Q3:

Determine o valor de π‘₯ no quadrilΓ‘tero dado.

Q4:

Determina π‘š ( ο‚— 𝐴 ) .

Q5:

Em um quadrilΓ‘tero , se , encontre .

Q6:

Para a figura dada, na qual π‘š ( 𝐢 ο‚— 𝐷 𝐴 ) = 5 π‘₯ ∘ , π‘š ( 𝐡 ο‚— 𝐢 𝐷 ) = 7 𝑦 ∘ e π‘š ( 𝐴 ο‚— 𝐡 𝐢 ) = 8 𝑦 ∘ , determina os valores de π‘₯ e 𝑦 .

  • A π‘₯ = 1 9 , 𝑦 = 1 2
  • B π‘₯ = 9 5 , 𝑦 = 1 2
  • C π‘₯ = 1 9 , 𝑦 = 9 5
  • D π‘₯ = 9 5 , 𝑦 = 8 4

Q7:

Dado que π‘š ( ο‚— 𝐷 ) = 2 3 π‘š ( ο‚— 𝐡 ) , encontre π‘š ( ο‚— 𝐡 ) e π‘š ( ο‚— 𝐷 ) .

  • A π‘š ( ο‚— 𝐡 ) = 1 0 8 ∘ , π‘š ( ο‚— 𝐷 ) = 7 2 ∘
  • B π‘š ( ο‚— 𝐡 ) = 7 2 ∘ , π‘š ( ο‚— 𝐷 ) = 1 0 8 ∘
  • C π‘š ( ο‚— 𝐡 ) = 1 2 7 ∘ , π‘š ( ο‚— 𝐷 ) = 5 3 ∘
  • D π‘š ( ο‚— 𝐡 ) = 5 3 ∘ , π‘š ( ο‚— 𝐷 ) = 1 2 7 ∘

Q8:

Determine π‘š ( 𝐢 ο‚— 𝐴 𝐡 ) .

Q9:

A partir da figura, determine π‘š ( 𝐡 ο‚— 𝐸 𝐷 ) .

  • A 4 2 ∘
  • B 9 0 ∘
  • C 8 0 ∘
  • D 2 2 ∘
  • E 3 2 ∘

Q10:

Na figura, π‘š ( ο‚— 𝐴 ) = 3 4 ∘ , π‘š ( ο‚— 𝐹 ) = 4 8 ∘ , e π‘š ( 𝐡 ο‚— 𝐸 𝐹 ) = 3 4 ∘ . Determine a medida de todos os Γ’ngulos em 𝐷 𝐸 𝐡 𝐢 .

  • A π‘š ( 𝐸 ο‚— 𝐡 𝐢 ) = 8 2 ∘ , π‘š ( ο‚— 𝐢 ) = 6 4 ∘ , π‘š ( 𝐡 ο‚— 𝐸 𝐷 ) = 1 4 6 ∘ , π‘š ( 𝐸 ο‚— 𝐷 𝐢 ) = 6 8 ∘
  • B π‘š ( 𝐸 ο‚— 𝐡 𝐢 ) = 8 2 ∘ , π‘š ( ο‚— 𝐢 ) = 9 8 ∘ , π‘š ( 𝐡 ο‚— 𝐸 𝐷 ) = 3 4 ∘ , π‘š ( 𝐸 ο‚— 𝐷 𝐢 ) = 1 4 6 ∘
  • C π‘š ( 𝐸 ο‚— 𝐡 𝐢 ) = 6 4 ∘ , π‘š ( ο‚— 𝐢 ) = 8 2 ∘ , π‘š ( 𝐡 ο‚— 𝐸 𝐷 ) = 1 1 6 ∘ , π‘š ( 𝐸 ο‚— 𝐷 𝐢 ) = 9 8 ∘
  • D π‘š ( 𝐸 ο‚— 𝐡 𝐢 ) = 4 8 ∘ , π‘š ( ο‚— 𝐢 ) = 6 4 ∘ , π‘š ( 𝐡 ο‚— 𝐸 𝐷 ) = 3 4 ∘ , π‘š ( 𝐸 ο‚— 𝐷 𝐢 ) = 2 1 4 ∘

Q11:

Determine π‘š ( 𝐹 ο‚— 𝐸 𝐢 ) .

Q12:

Na figura, se π‘š ( ο‚— 𝐴 ) = 2 6 ∘ , π‘š ( 𝐴 ο‚— 𝐢 𝐡 ) = 5 4 ∘ , π‘š ( ο‚— 𝐹 ) = 1 4 6 ∘ , determina π‘š ( ο‚— 𝐸 ) .

Q13:

Os Γ’ngulos internos de um quadrilΓ‘tero tΓͺm razΓ£o 3 ∢ 4 ∢ 5 ∢ 6 . Qual Γ© o maior Γ’ngulo?

  • A 1 2 0 ∘
  • B 2 0 ∘
  • C 8 0 ∘
  • D 6 0 ∘

Q14:

𝐴 𝐡 𝐢 𝐷 Γ© um quadrilΓ‘tero onde π‘š ( ο‚— 𝐴 ) = 1 6 2 ∘ , π‘š ( 𝐴 ο‚— 𝐡 𝐢 ) = 4 π‘₯ ∘ , π‘š ( 𝐡 ο‚— 𝐢 𝐷 ) = 2 π‘₯ ∘ , e π‘š ( 𝐢 ο‚— 𝐷 𝐴 ) = 3 π‘₯ ∘ . Qual Γ© o valor de π‘₯ ?

Q15:

Determina π‘š ( ο‚— 𝐴 ) .

Q16:

Determina π‘š ( ο‚— 𝐴 ) .

Q17:

Determine o valor de π‘₯ no quadrilΓ‘tero dado.

Q18:

Determine o valor de π‘₯ no quadrilΓ‘tero dado.

Q19:

Em um quadrilΓ‘tero , se , encontre .

Q20:

Na figura apresentada, π‘š ( ο‚— 𝐴 ) = 6 0 ∘ e π‘š ( ο‚— 𝐢 ) = 1 1 8 ∘ . Determina π‘š ( ο‚— 𝐷 ) .

Q21:

Na figura apresentada, π‘š ( ο‚— 𝐴 ) = 7 5 ∘ e π‘š ( ο‚— 𝐢 ) = 9 6 ∘ . Determina π‘š ( ο‚— 𝐷 ) .

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