Respuesta:
25°
Explicación paso a paso:
Ángulos consecutivos: ∡AOB, ∡BOC y ∡COD
∡AOC + ∡AOB = 90°
∡AOD + ∡AOB = 155°
Del dato:
Multiplicar × - 1:
- ∡AOC - ∡AOB = - 90°
Sumar:
--------------------------------
∡AOD - ∡AOC = 65°
Luego:
∡AOC = ∡AOB + ∡BOC
∡AOD = ∡AOB + ∡BOC + ∡COD
Reemplazar:
∡AOB + ∡BOC + ∡COD - (∡AOB + ∡BOC) = 65°
∡AOB + ∡BOC + ∡COD - ∡AOB - ∡BOC = 65°
∡COD = 65°
Complemento de ∡COD = 90° - 65°
Complemento de ∡COD = 25°
saludos haci yo lo hice en mi portafolio
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Respuesta:
25°
Explicación paso a paso:
Ángulos consecutivos: ∡AOB, ∡BOC y ∡COD
∡AOC + ∡AOB = 90°
∡AOD + ∡AOB = 155°
Del dato:
∡AOC + ∡AOB = 90°
Multiplicar × - 1:
- ∡AOC - ∡AOB = - 90°
Sumar:
∡AOD + ∡AOB = 155°
- ∡AOC - ∡AOB = - 90°
--------------------------------
∡AOD - ∡AOC = 65°
Luego:
∡AOC = ∡AOB + ∡BOC
∡AOD = ∡AOB + ∡BOC + ∡COD
Reemplazar:
∡AOD - ∡AOC = 65°
∡AOB + ∡BOC + ∡COD - (∡AOB + ∡BOC) = 65°
∡AOB + ∡BOC + ∡COD - ∡AOB - ∡BOC = 65°
∡COD = 65°
Complemento de ∡COD = 90° - 65°
Complemento de ∡COD = 25°
Explicación paso a paso:
saludos haci yo lo hice en mi portafolio