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Atividade: Determinando a Amplitude do Ângulo em Falta em Quadriláteros

Q1:

๐ด ๐ต ๐ถ ๐ท รฉ um quadrilรกtero onde ๐‘š ( ๏‚— ๐ด ) = 1 6 2 โˆ˜ , ๐‘š ( ๐ด ๏‚— ๐ต ๐ถ ) = 4 ๐‘ฅ โˆ˜ , ๐‘š ( ๐ต ๏‚— ๐ถ ๐ท ) = 2 ๐‘ฅ โˆ˜ , e ๐‘š ( ๐ถ ๏‚— ๐ท ๐ด ) = 3 ๐‘ฅ โˆ˜ . Qual รฉ o valor de ๐‘ฅ ?

Q2:

๐ด ๐ต ๐ถ ๐ท รฉ um quadrilรกtero onde ๐‘š ( ๏‚— ๐ด ) = 1 6 5 โˆ˜ , ๐‘š ( ๐ด ๏‚— ๐ต ๐ถ ) = 4 ๐‘ฅ โˆ˜ , ๐‘š ( ๐ต ๏‚— ๐ถ ๐ท ) = 4 ๐‘ฅ โˆ˜ , e ๐‘š ( ๐ถ ๏‚— ๐ท ๐ด ) = 5 ๐‘ฅ โˆ˜ . Qual รฉ o valor de ๐‘ฅ ?

Q3:

Determina ๐‘š ( ๏‚— ๐ด ) .

Q4:

Determina ๐‘š ( ๏‚— ๐ด ) .

Q5:

Determina ๐‘š ( ๏‚— ๐ด ) .

Q6:

Dado que ๐‘š ( ๏‚— ๐ท ) = 2 3 ๐‘š ( ๏‚— ๐ต ) , encontre ๐‘š ( ๏‚— ๐ต ) e ๐‘š ( ๏‚— ๐ท ) .

  • A ๐‘š ( ๏‚— ๐ต ) = 5 3 โˆ˜ , ๐‘š ( ๏‚— ๐ท ) = 1 2 7 โˆ˜
  • B ๐‘š ( ๏‚— ๐ต ) = 7 2 โˆ˜ , ๐‘š ( ๏‚— ๐ท ) = 1 0 8 โˆ˜
  • C ๐‘š ( ๏‚— ๐ต ) = 1 2 7 โˆ˜ , ๐‘š ( ๏‚— ๐ท ) = 5 3 โˆ˜
  • D ๐‘š ( ๏‚— ๐ต ) = 1 0 8 โˆ˜ , ๐‘š ( ๏‚— ๐ท ) = 7 2 โˆ˜

Q7:

Determine ๐‘š ( ๐ถ ๏‚— ๐ด ๐ต ) .

Q8:

A partir da figura, determine ๐‘š ( ๐ต ๏‚— ๐ธ ๐ท ) .

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

Q9:

Determine o valor de ๐‘ฅ no quadrilรกtero dado.

Q10:

Determine o valor de ๐‘ฅ no quadrilรกtero dado.

Q11:

Determine o valor de ๐‘ฅ no quadrilรกtero dado.

Q12:

Os รขngulos internos de um quadrilรกtero tรชm razรฃo 3 โˆถ 4 โˆถ 5 โˆถ 6 . Qual รฉ o maior รขngulo?

  • A 6 0 โˆ˜
  • B 2 0 โˆ˜
  • C 8 0 โˆ˜
  • D 1 2 0 โˆ˜

Q13:

Em um quadrilรกtero , se , encontre .

Q14:

Em um quadrilรกtero , se , encontre .

Q15:

Determine ๐‘š ( ๐น ๏‚— ๐ธ ๐ถ ) .

Q16:

Para a figura dada, na qual ๐‘š ( ๐ถ ๏‚— ๐ท ๐ด ) = 5 ๐‘ฅ โˆ˜ , ๐‘š ( ๐ต ๏‚— ๐ถ ๐ท ) = 7 ๐‘ฆ โˆ˜ e ๐‘š ( ๐ด ๏‚— ๐ต ๐ถ ) = 8 ๐‘ฆ โˆ˜ , determina os valores de ๐‘ฅ e ๐‘ฆ .

  • A ๐‘ฅ = 9 5 , ๐‘ฆ = 8 4
  • B ๐‘ฅ = 9 5 , ๐‘ฆ = 1 2
  • C ๐‘ฅ = 1 9 , ๐‘ฆ = 9 5
  • D ๐‘ฅ = 1 9 , ๐‘ฆ = 1 2

Q17:

Na figura apresentada, ๐‘š ( ๏‚— ๐ด ) = 7 4 โˆ˜ e ๐‘š ( ๏‚— ๐ถ ) = 9 2 โˆ˜ . Determina ๐‘š ( ๏‚— ๐ท ) .

Q18:

Na figura apresentada, ๐‘š ( ๏‚— ๐ด ) = 6 0 โˆ˜ e ๐‘š ( ๏‚— ๐ถ ) = 1 1 8 โˆ˜ . Determina ๐‘š ( ๏‚— ๐ท ) .

Q19:

Na figura apresentada, ๐‘š ( ๏‚— ๐ด ) = 7 5 โˆ˜ e ๐‘š ( ๏‚— ๐ถ ) = 9 6 โˆ˜ . Determina ๐‘š ( ๏‚— ๐ท ) .